Distance/Rate Problems

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swerve: Legendary Member; Posts: 2604; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

by swerve » Wed Feb 26, 2020 10:26 am

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Laura and Jeff plan to drive along the same route to the same destination. If it will take one hour for Jeff to travel the route, and Laura travels at a rate that is 50% faster than Jeff's rate, how long will it take Laura?

A. 30 minutes
B. 35 minutes
C. 40 minutes
D. 45 minutes
E. 50 minutes

The OA is C

Source: Veritas Prep

Source: Beat The GMAT — Problem Solving | Wed Feb 26, 2020 10:26 am

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

Re: Distance/Rate Problems

by Jay@ManhattanReview » Wed Feb 26, 2020 11:25 pm

swerve wrote: ↑
Wed Feb 26, 2020 10:26 am
Laura and Jeff plan to drive along the same route to the same destination. If it will take one hour for Jeff to travel the route, and Laura travels at a rate that is 50% faster than Jeff's rate, how long will it take Laura?

A. 30 minutes
B. 35 minutes
C. 40 minutes
D. 45 minutes
E. 50 minutes

The OA is C

Source: Veritas Prep

Say the speed of Jeff is 60 mph; thus, he runs 60 miles in 1 hour. Since Laura's speed is 50% more, her speed would be 90 mph. Thus, she would take 60/90 = 2/3 hours = 2/3*60 = 40 minutes.

The correct answer: C

Hope this helps!

-Jay
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Scott@TargetTestPrep: GMAT Instructor; Posts: 8246; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

Re: Distance/Rate Problems

by Scott@TargetTestPrep » Sat Mar 07, 2020 6:49 am

swerve wrote: ↑
Wed Feb 26, 2020 10:26 am
Laura and Jeff plan to drive along the same route to the same destination. If it will take one hour for Jeff to travel the route, and Laura travels at a rate that is 50% faster than Jeff's rate, how long will it take Laura?

A. 30 minutes
B. 35 minutes
C. 40 minutes
D. 45 minutes
E. 50 minutes

The OA is C

Source: Veritas Prep

Since Laura’s rate is 50% faster, or 3/2 of Joe’s rate, her time is 2/3 of Joe’s time. If it takes Joe 1 hour, it takes Laura 2/3 of an hour, or 40 minutes.

Answer: C

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