Last visit was: 15 Jul 2024, 13:52 It is currently 15 Jul 2024, 13:52
Toolkit
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.
Request Expert Reply

# Ezra pays \$0.75 each time he takes a public transport to reach his sch

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 94354
Own Kudos [?]: 641114 [0]
Given Kudos: 85011
Retired Moderator
Joined: 18 May 2019
Posts: 782
Own Kudos [?]: 1055 [1]
Given Kudos: 101
CEO
Joined: 07 Mar 2019
Posts: 2618
Own Kudos [?]: 1868 [1]
Given Kudos: 763
Location: India
WE:Sales (Energy and Utilities)
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6049
Own Kudos [?]: 4765 [1]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Re: Ezra pays \$0.75 each time he takes a public transport to reach his sch [#permalink]
1
Kudos
0.75*2*k > 13 + 0.60k

Or, 1.50 k > 13 + 0.60k

Or, 0.90k > 13

Or, k > 14

Among the given option only (C) fits in , Answer must be (C)
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 7972
Own Kudos [?]: 4216 [1]
Given Kudos: 243
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Re: Ezra pays \$0.75 each time he takes a public transport to reach his sch [#permalink]
1
Kudos
Current plan expense per day ; 0.75*2 ; 1.5\$*k
Another plan ; 13+0.3*2 ; 13+0.6*k

using answer options we can find when saving money will start

K----CP------NP(13\$)
10----15-----19
12----18-----20.2
15---22.5----22 ; YES she starts to save 0.5\$ per trip
IMO C ; 15 is sufficient

Ezra pays \$0.75 each time he takes a public transport to reach his school. Students who frequently use this service may instead purchase token each month for \$13 and then pay \$0.30 per each ride. If Ezra need to take the bus twice a day for K days next month and will not use the bus on any other day, what is the least possible value of K for which Ezra will save money by using the token?

(A) 10
(B) 12
(C) 15
(D) 18
(E) 28
SVP
Joined: 24 Nov 2016
Posts: 1712
Own Kudos [?]: 1360 [1]
Given Kudos: 607
Location: United States
Re: Ezra pays \$0.75 each time he takes a public transport to reach his sch [#permalink]
1
Kudos
Quote:
Ezra pays \$0.75 each time he takes a public transport to reach his school. Students who frequently use this service may instead purchase token each month for \$13 and then pay \$0.30 per each ride. If Ezra need to take the bus twice a day for K days next month and will not use the bus on any other day, what is the least possible value of K for which Ezra will save money by using the token?

(A) 10
(B) 12
(C) 15
(D) 18
(E) 28

current cost - token cost > 0
0.75*2*k - (13+0.3*2*k) > 0
1.5k - 13 - 0.6k > 0
0.9k > 13
k > 14… = 15 days

Answer (C)
Director
Joined: 25 Jul 2018
Posts: 663
Own Kudos [?]: 1145 [0]
Given Kudos: 69
Re: Ezra pays \$0.75 each time he takes a public transport to reach his sch [#permalink]
\$0.75 * 2 =\$1.5 per day
—> If Ezra has a token (\$13 for a month) for the next month, she will spend \$0.6 per day for K days.

In order to save money,
—>13+ 0.6K must be less than 1.5K

13+0.6K< 1.5K
0.9K> 13
K> 130/9= 14.4
K>14.4
—> the least possible value of K is 15
The answer is C

Posted from my mobile device
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 19133
Own Kudos [?]: 22641 [0]
Given Kudos: 286
Location: United States (CA)
Re: Ezra pays \$0.75 each time he takes a public transport to reach his sch [#permalink]
Expert Reply
Bunuel wrote:

Competition Mode Question

Ezra pays \$0.75 each time he takes a public transport to reach his school. Students who frequently use this service may instead purchase token each month for \$13 and then pay \$0.30 per each ride. If Ezra need to take the bus twice a day for K days next month and will not use the bus on any other day, what is the least possible value of K for which Ezra will save money by using the token?

(A) 10
(B) 12
(C) 15
(D) 18
(E) 28

We can create the following inequality:

0.75(2K) > 13 + 0.3(2K)

1.5K > 13 + 0.6K
0.9K > 13

K > 14.4

Answer: C
VP
Joined: 18 Dec 2017
Posts: 1161
Own Kudos [?]: 1046 [0]
Given Kudos: 421
Location: United States (KS)
GMAT 1: 600 Q46 V27
Re: Ezra pays \$0.75 each time he takes a public transport to reach his sch [#permalink]
Quote:
Ezra pays \$0.75 each time he takes a public transport to reach his school. Students who frequently use this service may instead purchase token each month for \$13 and then pay \$0.30 per each ride. If Ezra need to take the bus twice a day for K days next month and will not use the bus on any other day, what is the least possible value of K for which Ezra will save money by using the token?

(A) 10
(B) 12
(C) 15
(D) 18
(E) 28

You can look at the difference:
Cost each day without pass = 1.5\$
Cost each day with pass = 0.6\$

The difference is 0.9\$.

Now we need to recover the cost of 13\$. So in 14 days we would have recovered 12.6\$. So on the 15th day we will profit from the ownership of the pass.

Hence C.
Re: Ezra pays \$0.75 each time he takes a public transport to reach his sch [#permalink]
Moderator:
Math Expert
94354 posts