GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 17 Oct 2019, 08:28

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.

Close

Request Expert Reply

Confirm Cancel

Samia set off on her bicycle to visit her friend, traveling at an aver

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Senior Manager
Senior Manager
avatar
P
Status: Manager
Joined: 02 Nov 2018
Posts: 280
Location: Bangladesh
GMAT ToolKit User
Samia set off on her bicycle to visit her friend, traveling at an aver  [#permalink]

Show Tags

New post 03 Apr 2019, 04:32
1
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

64% (02:51) correct 36% (02:59) wrong based on 42 sessions

HideShow timer Statistics

Samia set off on her bicycle to visit her friend, traveling at an average speed of 17 kilometers per hour. When she had gone half the distance to her friend’s house, a tire went flat, and she walked the rest of the way at 5 kilometers per hour. In all it took her 44 minutes to reach her friend’s house. In kilometers rounded to the nearest tenth, how far did Samia walk?

(A) 2.0

(B) 2.2

(C) 2.8

(D) 3.4

(E) 4.4

_________________
Give a kudos if u find my post helpful. kudos motivates active discussions :)

NUS School Moderator
avatar
V
Joined: 18 Jul 2018
Posts: 1020
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Reviews Badge
Samia set off on her bicycle to visit her friend, traveling at an aver  [#permalink]

Show Tags

New post 03 Apr 2019, 10:48
3
Let the total distance traveled by Samia be x.
She traveled half the distance(x/2) by bike at 17kmph and the other half(x/2) by walk at 5kmph.
Time = 44/60 hrs.
Average Speed = Total Distance/Time taken

\(\frac{x}{(x/(2*17)+x/(2*5))}\)

\(\frac{x}{((5x+17x)/170)}\) = \(\frac{170x}{22x}\) = \(\frac{85}{11}\) kmph

Distance, x = \(\frac{85}{11}*\frac{44}{60}\) km = \(\frac{17}{3}\) = Almost 6.

Distance traveled by walk = x/2 = 6/2 = 3.

C is the closest.

C is the answer.
_________________
Press +1 Kudos If my post helps!
Manager
Manager
avatar
S
Joined: 09 Nov 2015
Posts: 133
Re: Samia set off on her bicycle to visit her friend, traveling at an aver  [#permalink]

Show Tags

New post 04 Apr 2019, 00:25
Let the distance she walks be 'x' kms; so the distance she bikes must also be 'x' kms since she had a flat half-way to her friend's place.
Therefore, she biked for x/17 hrs and walked for x/5 hrs.
So, (x/17 + x/5) hrs = 44 mins = 44/60 hrs
x = 2.83. Ans: C
Target Test Prep Representative
User avatar
D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8085
Location: United States (CA)
Re: Samia set off on her bicycle to visit her friend, traveling at an aver  [#permalink]

Show Tags

New post 07 Apr 2019, 18:21
Noshad wrote:
Samia set off on her bicycle to visit her friend, traveling at an average speed of 17 kilometers per hour. When she had gone half the distance to her friend’s house, a tire went flat, and she walked the rest of the way at 5 kilometers per hour. In all it took her 44 minutes to reach her friend’s house. In kilometers rounded to the nearest tenth, how far did Samia walk?

(A) 2.0

(B) 2.2

(C) 2.8

(D) 3.4

(E) 4.4


Let d be the distance to Samia’s friend’s house. We can create the equation:

(d/2)/17 + (d/2)/5 = 44/60

d/34 + d/10 = 44/60

10d/340 + 34d/340 = 44/60

44d/340 = 44/60

d/340 = 1/60

60d = 340

d ≈ 5.6

Since she walked only half of the distance from her house to her friend’s house, she walked approximately 2.8 km.

Answer: C
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Intern
Intern
avatar
B
Joined: 19 Jan 2017
Posts: 30
Location: India
Schools: IIM
GMAT 1: 530 Q48 V15
GMAT ToolKit User
Re: Samia set off on her bicycle to visit her friend, traveling at an aver  [#permalink]

Show Tags

New post 08 Apr 2019, 23:10
Hi,

I took 3 minutes to solve this. Is there any easy method to solve this problem in less time?
GMAT Club Bot
Re: Samia set off on her bicycle to visit her friend, traveling at an aver   [#permalink] 08 Apr 2019, 23:10
Display posts from previous: Sort by

Samia set off on her bicycle to visit her friend, traveling at an aver

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne