Distance/Rate Problems

BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

This topic has expert replies

Post new topic Post Reply

Previous Topic Next Topic

swerve: Legendary Member; Posts: 2499; Joined: Sun Oct 29, 2017 2:04 pm; Followed by:6 members

Distance/Rate Problems

by swerve » Mon Jun 22, 2020 7:58 am

Timer

00:00

Your Answer

Global Stats

While driving from A-ville to B-town, Harriet drove at a constant speed of 115 kilometers per hour. Upon arriving in B-town, Harriet immediately turned and drove back to A-ville at a constant speed of 135 kilometers per hour. If the entire trip took 5 hours, how many minutes did it take Harriet to drive from A-ville to B-town?

A. 138
B. 148
C. 150
D. 162
E. 168

The OA is D

Source: Magoosh

Quote

Source: Beat The GMAT — Problem Solving | Mon Jun 22, 2020 7:58 am

GMAT/MBA Expert

Jay@ManhattanReview: GMAT Instructor; Posts: 3008; Joined: Mon Aug 22, 2016 6:19 am; Location: Grand Central / New York; Thanked: 470 times; Followed by:34 members

Re: Distance/Rate Problems

by Jay@ManhattanReview » Mon Jun 22, 2020 9:12 pm

swerve wrote: ↑
Mon Jun 22, 2020 7:58 am
While driving from A-ville to B-town, Harriet drove at a constant speed of 115 kilometers per hour. Upon arriving in B-town, Harriet immediately turned and drove back to A-ville at a constant speed of 135 kilometers per hour. If the entire trip took 5 hours, how many minutes did it take Harriet to drive from A-ville to B-town?

A. 138
B. 148
C. 150
D. 162
E. 168

The OA is D

Source: Magoosh

Say the distance from A-ville to B-town is D miles.

Time taken to drive from A-ville to B-town = D/115 hours; and
Time taken to drive from B-town to A-ville = D/135 hours

=> D/115 + D/135 = 5
D/5(1/23 + 1/27) = 5
D = (25*23*27) / 50

Minutes taken by Harriet to drive from A-ville to B-town = 60*D/115 = (60*25*23*27) / (50*115) = 162 minutes

Correct answer: D

Hope this helps!

-Jay
_________________
Manhattan Review GMAT Prep

Locations: Manhattan LSAT | SAT Practice Questions | GMAT Practice Test | GRE Info | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.

Quote

GMAT/MBA Expert

Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

Re: Distance/Rate Problems

by Scott@TargetTestPrep » Sat Jun 27, 2020 5:28 am

swerve wrote: ↑
Mon Jun 22, 2020 7:58 am
While driving from A-ville to B-town, Harriet drove at a constant speed of 115 kilometers per hour. Upon arriving in B-town, Harriet immediately turned and drove back to A-ville at a constant speed of 135 kilometers per hour. If the entire trip took 5 hours, how many minutes did it take Harriet to drive from A-ville to B-town?

A. 138
B. 148
C. 150
D. 162
E. 168

The OA is D

Solution:

We can create the equation where t is the number of hours it takes Harriet to drive from A-ville to B-town:

115t = 135(5 - t)

115t = 675 - 135t

250t = 675

t = 675/250 = 2.7

Thus, it takes 2.7 hours or 2.7 x 60 = 162 minutes for Harriet to drive from A-ville to B-town.

Answer: D

Scott Woodbury-Stewart
Founder and CEO
[email protected]