Both car A and car B set out from their original locations

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BTGmoderatorLU: Moderator; Posts: 2505; Joined: Sun Oct 15, 2017 1:50 pm; Followed by:6 members

Both car A and car B set out from their original locations

by BTGmoderatorLU » Fri Jan 03, 2020 6:55 am

Source: Veritas Prep

Both car A and car B set out from their original locations at exactly the same time and on exactly the same route. Car A drives from Morse to Houston at an average speed of 65 miles per hour. Car B drives from Houston to Morse at 50 miles per hour, and then immediately returns to Houston at the same speed and on the same route. If car B arrives in Houston 2 hours after car A, how many hours did it take car A to make its trip?

A. 0.50
B. 1.00
C. 1.25
D. 1.33
E. 2.00

The OA is C

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Source: Beat The GMAT — Problem Solving | Fri Jan 03, 2020 6:55 am

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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

by Jay@ManhattanReview » Tue Jan 07, 2020 9:51 pm

BTGmoderatorLU wrote:Source: Veritas Prep

Both car A and car B set out from their original locations at exactly the same time and on exactly the same route. Car A drives from Morse to Houston at an average speed of 65 miles per hour. Car B drives from Houston to Morse at 50 miles per hour, and then immediately returns to Houston at the same speed and on the same route. If car B arrives in Houston 2 hours after car A, how many hours did it take car A to make its trip?

A. 0.50
B. 1.00
C. 1.25
D. 1.33
E. 2.00

The OA is C

Say the distance between Morse to Houston is d miles; thus Car A drove d miles, while Car B drove 2d miles, and took 2 hours more than Car A.

Time taken by Car A to cover d miles = d/65 hours;
Time taken by Car B to cover 2d miles = 2d/50 = d/25 hours;

=> d/25 = d/65 + 2

=> d = 65*5/4 hours

Time taken by Car A to cover d miles = d/65 hours = (65*5)/(65*4) = 1.25 hours

The correct answer: C

Hope this helps!

-Jay
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by Scott@TargetTestPrep » Wed Jan 08, 2020 7:45 pm

BTGmoderatorLU wrote:Source: Veritas Prep

Both car A and car B set out from their original locations at exactly the same time and on exactly the same route. Car A drives from Morse to Houston at an average speed of 65 miles per hour. Car B drives from Houston to Morse at 50 miles per hour, and then immediately returns to Houston at the same speed and on the same route. If car B arrives in Houston 2 hours after car A, how many hours did it take car A to make its trip?

A. 0.50
B. 1.00
C. 1.25
D. 1.33
E. 2.00

The OA is C

We can let x = the time, in hours, car A has driven; thus, x + 2 = the time car B has driven. Also car B travels twice the distance that car A travels. So we can create the distance equation:

50(x + 2) = 2(65)(x)

50x + 100 = 130x

100 = 80x

x = 1.25

Answer: C

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