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

Redeem

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

Expert replies
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
Join the discussion
Source: — Problem Solving |

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
_________________
Manhattan Review

Locations: Manhattan Review Begumpet | GMAT Prep Visakhapatnam | GRE Prep Warangal | Dilsukhnagar GRE Coaching | and many more...

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

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

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage
Join the discussion