Last visit was: 21 Apr 2026, 22:00 It is currently 21 Apr 2026, 22:00
Home
Messages
Tests
Schools
Events
Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
User avatar
yikes000
User avatar
Joined: 29 Dec 2023
Last visit: 08 Mar 2024
Posts: 18
Own Kudos:
654
 [50]
Given Kudos: 1
Posts: 18
Kudos: 654
 [50]
Leah and Tyrell each rented a car for 1 day. Leah was charged a rental Updated on: 06 Jan 2024, 06:34
Originally posted by yikes000 on 06 Jan 2024, 05:19.
Last edited by Bunuel on 06 Jan 2024, 06:34, edited 1 time in total.
Renamed the topic, edited the question, moved to DS forum and added the OA.
4
Kudos
Add Kudos
46
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

65% (hard)

Question Stats:

63% (01:54) correct 37% (02:07) wrong based on 1028 sessions

History

Date
Time
Result
Not Attempted Yet
Leah and Tyrell each rented a car for 1 day. Leah was charged a rental fee of $45.00 plus $0.22 for each mile she drove the car. Tyrell was charged a rental fee of $28.00 plus $0.26 for each mile he drove the car. How many miles did Tyrell drive the car he rented?

(1) Tyrell would have been charged $11.00 more if he had been charged the same rates as Leah.
(2) Leah's total charge for her rental car was the same as Tyrell's total charge for his rental car.



Show Spoiler
How is the answer here A?
Attachment:
DS - 4.png
DS - 4.png [ 74.25 KiB | Viewed 11897 times ]
ShowHide Answer
Official Answer
A
Using official mocks already? Add GMAT Club Tests for harder practice, analytics, and explanations without overlapping Official Guide or official mock questions. Try it now →
User avatar
gmatophobia
User avatar
Quant Chat Moderator
Joined: 22 Dec 2016
Last visit: 19 Apr 2026
Posts: 3,173
Own Kudos:
11,444
 [4]
Given Kudos: 1,862
Location: India
Concentration: Strategy, Leadership
Posts: 3,173
Kudos: 11,444
 [4]
Leah and Tyrell each rented a car for 1 day. Leah was charged a rental 06 Jan 2024, 07:52
3
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
yikes000
Leah and Tyrell each rented a car for 1 day. Leah was charged a rental fee of $45.00 plus $0.22 for each mile she drove the car. Tyrell was charged a rental fee of $28.00 plus $0.26 for each mile he drove the car. How many miles did Tyrell drive the car he rented?

(1) Tyrell would have been charged $11.00 more if he had been charged the same rates as Leah.
(2) Leah's total charge for her rental car was the same as Tyrell's total charge for his rental car.
Show more

Assume

  • Number of miles driven by Leah = \(x\)
  • Number of miles driven by Tyrell = \(y\)

  • Rental amount charged to Leah = $ \(45 + 0.22x\)
  • Rental amount charged to Tyrell = $ \(28 + 0.26y\)

Question :\( y = \)?

Statement 1

(1) Tyrell would have been charged $11.00 more if he had been charged the same rates as Leah.

Rental Tyrell would have paid if he were charged the same rates as Leah = $ \(45 + 0.22y\)

\(45 + 0.22y - (28 + 0.26y) = 11\)

We have one unknown value \(y\). We can solve the equation to obtain the value of \(y\).

This statement is hence sufficient to find the value of \(y\). We can eliminate B, C, and E.

Statement 2

(2) Leah's total charge for her rental car was the same as Tyrell's total charge for his rental car.

\(45 + 0.22x = 28 + 0.26y\)

In this equation, we have two unknown variables, \(x\) and \(y\). Depending on the value of \(x\), the value of \(y\) will change. Hence, this statement alone is not sufficient to find a unique value of \(y\). Eliminate D.

Option A
User avatar
Su7sH
User avatar
Joined: 12 Oct 2023
Last visit: 11 Sep 2025
Posts: 33
Own Kudos:
38
 [2]
Given Kudos: 35
Location: India
Concentration: Entrepreneurship, Healthcare
Schools: Stanford '27
GPA: 3.6
WE:Medicine and Health (Healthcare/Pharmaceuticals)
Schools: Stanford '27
Posts: 33
Kudos: 38
 [2]
Leah and Tyrell each rented a car for 1 day. Leah was charged a rental 08 Mar 2024, 05:09
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
gmatophobia

yikes000
Leah and Tyrell each rented a car for 1 day. Leah was charged a rental fee of $45.00 plus $0.22 for each mile she drove the car. Tyrell was charged a rental fee of $28.00 plus $0.26 for each mile he drove the car. How many miles did Tyrell drive the car he rented?

(1) Tyrell would have been charged $11.00 more if he had been charged the same rates as Leah.
(2) Leah's total charge for her rental car was the same as Tyrell's total charge for his rental car.

 

Assume

  • Number of miles driven by Leah = \(x\)
  • Number of miles driven by Tyrell = \(y\)
  • Rental amount charged to Leah = $ \(45 + 0.22x\)
  • Rental amount charged to Tyrell = $ \(28 + 0.26y\)

Question :\( y = \)?

Statement 1

(1) Tyrell would have been charged $11.00 more if he had been charged the same rates as Leah.

Rental Tyrell would have paid if he were charged the same rates as Leah = $ \(45 + 0.22y\)

\(45 + 0.22y - (28 + 0.26y) = 11\)

We have one unknown value \(y\). We can solve the equation to obtain the value of \(y\).

This statement is hence sufficient to find the value of \(y\). We can eliminate B, C, and E.

Statement 2

(2) Leah's total charge for her rental car was the same as Tyrell's total charge for his rental car.

\(45 + 0.22x = 28 + 0.26y\)

In this equation, we have two unknown variables, \(x\) and \(y\). Depending on the value of \(x\), the value of \(y\) will change. Hence, this statement alone is not sufficient to find a unique value of \(y\). Eliminate D.

Option A
Show more
­I think the key catch in statement 1 is understanding that "Rental Tyrell would have paid if he were charged the same rates as Leah" means x=y, i..e.., they both travelled the same number of miles.
User avatar
GMATinsight
User avatar
Major Poster
Joined: 08 Jul 2010
Last visit: 21 Apr 2026
Posts: 6,976
Own Kudos:
16,892
 [1]
Given Kudos: 128
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Products:
My Reviews
Expert
Expert reply
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
Posts: 6,976
Kudos: 16,892
 [1]
Leah and Tyrell each rented a car for 1 day. Leah was charged a rental 15 Mar 2024, 05:22
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
yikes000
Leah and Tyrell each rented a car for 1 day. Leah was charged a rental fee of $45.00 plus $0.22 for each mile she drove the car. Tyrell was charged a rental fee of $28.00 plus $0.26 for each mile he drove the car. How many miles did Tyrell drive the car he rented?

(1) Tyrell would have been charged $11.00 more if he had been charged the same rates as Leah.
(2) Leah's total charge for her rental car was the same as Tyrell's total charge for his rental car.



Show Spoiler
How is the answer here A?
Attachment:
DS - 4.png
Show more
­Answer: Option A

Watch the Video solution by GMATINSIGHT for the detailed solution

User avatar
aninaagi
User avatar
Joined: 26 Apr 2017
Last visit: 20 Apr 2026
Posts: 21
Own Kudos:
6
 [2]
Given Kudos: 25
GMAT Focus 1: 695 Q88 V86 DI80
Products:
My Reviews
GMAT Focus 1: 695 Q88 V86 DI80
Posts: 21
Kudos: 6
 [2]
Leah and Tyrell each rented a car for 1 day. Leah was charged a rental 15 Apr 2024, 07:29
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hi,

In this question, I have a basic doubt, the only scenario Tyrell's total charge and Leah's total charge can be the same is if they both drive a particular number of miles which compensates for the delta of $17 that Leah paid more upfront. That number of miles comes to 425 miles.

Below this number of miles Tyrell would get a lesser total charge and above this number Leah would get a lesser total charge.

What am I missing here? gmatophobia & Bunuel
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 21 Apr 2026
Posts: 109,740
Own Kudos:
810,493
 [2]
Given Kudos: 105,815
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,740
Kudos: 810,493
 [2]
Leah and Tyrell each rented a car for 1 day. Leah was charged a rental 15 Apr 2024, 07:47
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
 
aninaagi
Leah and Tyrell each rented a car for 1 day. Leah was charged a rental fee of $45.00 plus $0.22 for each mile she drove the car. Tyrell was charged a rental fee of $28.00 plus $0.26 for each mile he drove the car. How many miles did Tyrell drive the car he rented?

(1) Tyrell would have been charged $11.00 more if he had been charged the same rates as Leah.
(2) Leah's total charge for her rental car was the same as Tyrell's total charge for his rental car.

Hi,

In this question, I have a basic doubt, the only scenario Tyrell's total charge and Leah's total charge can be the same is if they both drive a particular number of miles which compensates for the delta of $17 that Leah paid more upfront. That number of miles comes to 425 miles.

Below this number of miles Tyrell would get a lesser total charge and above this number Leah would get a lesser total charge.

What am I missing here? gmatophobia & Bunuel
Show more
­45 + 0.22x = 28 + 0.26y has infinitely many solutions. For instance, here are some of them, where x and y are integers:

x = 22 and y = 84
x = 35 and y = 95
x = 48 and y = 106
x = 61 and y = 117
...
x = 425 and y = 425
...

You assume that (2) implies that both of them drove the same number of miles, so assume x = y, which is not correct.

Hope it's clear.
 ­
User avatar
egmat
User avatar
e-GMAT Representative
Joined: 02 Nov 2011
Last visit: 21 Apr 2026
Posts: 5,632
Own Kudos:
33,430
 [4]
Given Kudos: 707
GMAT Date: 08-19-2020
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 5,632
Kudos: 33,430
 [4]
Leah and Tyrell each rented a car for 1 day. Leah was charged a rental 05 Jul 2024, 05:23
4
Kudos
Add Kudos
Bookmarks
Bookmark this Post
­This question tests your ability to translate and tabulate the given information properly. 
Watch this video to see how simple this quetsion becomes if one implements these two aspects properly.


 ­
User avatar
slabarca
User avatar
Joined: 26 May 2024
Last visit: 01 Feb 2025
Posts: 4
Own Kudos:
1
Given Kudos: 5
Posts: 4
Kudos: 1
Leah and Tyrell each rented a car for 1 day. Leah was charged a rental 02 Nov 2024, 08:35
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Not clear for me; is there any other scenario in which other X and Y accomplishes to make the equations charge the same amount to bith drivers other tahn 425?

If not, we are clear that 425 is the amount of miles ridden by Leah.
Bunuel

aninaagi
Leah and Tyrell each rented a car for 1 day. Leah was charged a rental fee of $45.00 plus $0.22 for each mile she drove the car. Tyrell was charged a rental fee of $28.00 plus $0.26 for each mile he drove the car. How many miles did Tyrell drive the car he rented?

(1) Tyrell would have been charged $11.00 more if he had been charged the same rates as Leah.
(2) Leah's total charge for her rental car was the same as Tyrell's total charge for his rental car.

Hi,

In this question, I have a basic doubt, the only scenario Tyrell's total charge and Leah's total charge can be the same is if they both drive a particular number of miles which compensates for the delta of $17 that Leah paid more upfront. That number of miles comes to 425 miles.

Below this number of miles Tyrell would get a lesser total charge and above this number Leah would get a lesser total charge.

What am I missing here? gmatophobia & Bunuel
­45 + 0.22x = 28 + 0.26y has infinitely many solutions. For instance, here are some of them, where x and y are integers:

x = 22 and y = 84
x = 35 and y = 95
x = 48 and y = 106
x = 61 and y = 117
...
x = 425 and y = 425
...

You assume that (2) implies that both of them drove the same number of miles, so assume x = y, which is not correct.

Hope it's clear.
­
Show more
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 21 Apr 2026
Posts: 109,740
Own Kudos:
810,493
Given Kudos: 105,815
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,740
Kudos: 810,493
Leah and Tyrell each rented a car for 1 day. Leah was charged a rental 02 Nov 2024, 09:47
Kudos
Add Kudos
Bookmarks
Bookmark this Post
slabarca
Not clear for me; is there any other scenario in which other X and Y accomplishes to make the equations charge the same amount to bith drivers other tahn 425?

If not, we are clear that 425 is the amount of miles ridden by Leah.
Bunuel

aninaagi
Leah and Tyrell each rented a car for 1 day. Leah was charged a rental fee of $45.00 plus $0.22 for each mile she drove the car. Tyrell was charged a rental fee of $28.00 plus $0.26 for each mile he drove the car. How many miles did Tyrell drive the car he rented?

(1) Tyrell would have been charged $11.00 more if he had been charged the same rates as Leah.
(2) Leah's total charge for her rental car was the same as Tyrell's total charge for his rental car.

Hi,

In this question, I have a basic doubt, the only scenario Tyrell's total charge and Leah's total charge can be the same is if they both drive a particular number of miles which compensates for the delta of $17 that Leah paid more upfront. That number of miles comes to 425 miles.

Below this number of miles Tyrell would get a lesser total charge and above this number Leah would get a lesser total charge.

What am I missing here? gmatophobia & Bunuel
­45 + 0.22x = 28 + 0.26y has infinitely many solutions. For instance, here are some of them, where x and y are integers:

x = 22 and y = 84
x = 35 and y = 95
x = 48 and y = 106
x = 61 and y = 117
...
x = 425 and y = 425
...

You assume that (2) implies that both of them drove the same number of miles, so assume x = y, which is not correct.

Hope it's clear.
­
Show more

The question asks for the number of miles Tyrell drove, which we denoted as y.

Statement (2) says Leah's total charge was the same as Tyrell's total charge, meaning 45 + 0.22x = 28 + 0.26y. It's not necessary for x to equal y. The statement simply means that the total charges are equal, so 45 + 0.22x = 28 + 0.26y. From this, we cannot find the value of y because there are infinitely many (x, y) pairs that satisfy the equation:

x = 22 and y = 84
x = 35 and y = 95
x = 48 and y = 106
x = 61 and y = 117
...
x = 425 and y = 425
...

Hope that clarifies.
User avatar
kabirgandhi
User avatar
Joined: 11 Oct 2024
Last visit: 02 Apr 2026
Posts: 77
Own Kudos:
22
 [2]
Given Kudos: 85
Location: India
GMAT Focus 1: 645 Q85 V84 DI77
GMAT Focus 2: 715 Q88 V88 DI81
Products:
My Reviews
GMAT Focus 2: 715 Q88 V88 DI81
Posts: 77
Kudos: 22
 [2]
Leah and Tyrell each rented a car for 1 day. Leah was charged a rental 12 Jul 2025, 00:09
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Came across this question in Mock 5, got it wrong, am I the only one thinking the wording here might be a little loose?

Tyrell: 28+ 0.26y and Leah: 45+0.22x, were y and x are respective number of miles. Question asks for y=?

1) Tyrell would have been charged $11 more if he had been charged the same rates as Leah: This makes it seem like Tyrell - Leah = $11, given they're both charged the same rate as Leah, that is;

Tyrell-Leah = 45+0.22y - (45+0.22x) = 11, 2 variables, one equation, insufficient.

After reading the OA, and the solution, I realised that the question was actually comparing Tyrell, with a hypothetical rate for Tyrell himself, i.e., New Tyrell - Old Tyrell = 11; 45 + 0.22y - (28+0.26y) = 11, sufficient.

The wording of statement one seems a bit ambiguous, not able to determine what two amounts are being compared.
User avatar
Souradeep17
User avatar
Joined: 01 May 2025
Last visit: 20 Apr 2026
Posts: 328
Own Kudos:
270
Given Kudos: 28
Location: India
Concentration: Technology, Strategy
GMAT Focus 1: 605 Q80 V79 DI81
GPA: 9.4
WE:Information Technology (Computer Software)
GMAT Focus 1: 605 Q80 V79 DI81
Posts: 328
Kudos: 270
Leah and Tyrell each rented a car for 1 day. Leah was charged a rental 26 Jul 2025, 20:25
Kudos
Add Kudos
Bookmarks
Bookmark this Post
yeah true. How did you realize that rate means distance is same and not the cost?
Su7sH
gmatophobia

yikes000
Leah and Tyrell each rented a car for 1 day. Leah was charged a rental fee of $45.00 plus $0.22 for each mile she drove the car. Tyrell was charged a rental fee of $28.00 plus $0.26 for each mile he drove the car. How many miles did Tyrell drive the car he rented?

(1) Tyrell would have been charged $11.00 more if he had been charged the same rates as Leah.
(2) Leah's total charge for her rental car was the same as Tyrell's total charge for his rental car.


Assume

  • Number of miles driven by Leah = \(x\)
  • Number of miles driven by Tyrell = \(y\)
  • Rental amount charged to Leah = $ \(45 + 0.22x\)
  • Rental amount charged to Tyrell = $ \(28 + 0.26y\)

Question :\( y = \)?

Statement 1

(1) Tyrell would have been charged $11.00 more if he had been charged the same rates as Leah.

Rental Tyrell would have paid if he were charged the same rates as Leah = $ \(45 + 0.22y\)

\(45 + 0.22y - (28 + 0.26y) = 11\)

We have one unknown value \(y\). We can solve the equation to obtain the value of \(y\).

This statement is hence sufficient to find the value of \(y\). We can eliminate B, C, and E.

Statement 2

(2) Leah's total charge for her rental car was the same as Tyrell's total charge for his rental car.

\(45 + 0.22x = 28 + 0.26y\)

In this equation, we have two unknown variables, \(x\) and \(y\). Depending on the value of \(x\), the value of \(y\) will change. Hence, this statement alone is not sufficient to find a unique value of \(y\). Eliminate D.

Option A
­I think the key catch in statement 1 is understanding that "Rental Tyrell would have paid if he were charged the same rates as Leah" means x=y, i..e.., they both travelled the same number of miles.
Show more
User avatar
anushkatew
User avatar
Joined: 05 Nov 2024
Last visit: 21 Feb 2026
Posts: 16
Own Kudos:
2
Given Kudos: 491
GMAT Focus 1: 605 Q79 V84 DI77
GMAT Focus 2: 715 Q85 V89 DI82
Products:
My Reviews
GMAT Focus 2: 715 Q85 V89 DI82
Posts: 16
Kudos: 2
Leah and Tyrell each rented a car for 1 day. Leah was charged a rental 16 Aug 2025, 19:32
Kudos
Add Kudos
Bookmarks
Bookmark this Post
thought the same thing and got it wrong ... wouldn't have thought Tyrell was being compared to Tyrell until I came here to look for some help:oops:

kabirgandhi
Came across this question in Mock 5, got it wrong, am I the only one thinking the wording here might be a little loose?

Tyrell: 28+ 0.26y and Leah: 45+0.22x, were y and x are respective number of miles. Question asks for y=?

1) Tyrell would have been charged $11 more if he had been charged the same rates as Leah: This makes it seem like Tyrell - Leah = $11, given they're both charged the same rate as Leah, that is;

Tyrell-Leah = 45+0.22y - (45+0.22x) = 11, 2 variables, one equation, insufficient.

After reading the OA, and the solution, I realised that the question was actually comparing Tyrell, with a hypothetical rate for Tyrell himself, i.e., New Tyrell - Old Tyrell = 11; 45 + 0.22y - (28+0.26y) = 11, sufficient.

The wording of statement one seems a bit ambiguous, not able to determine what two amounts are being compared.
Show more
Moderators:
Bunuel
Math Expert
109740 posts
kingbucky
498 posts
Gmat860sanskar
211 posts