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Source: Manhattan Prep

Scott takes a trip and drives 6 hours from Town X to Town Z at a rate of 50 miles per hour. On his way back, Scott drives 75 miles per hour and stops in Town Y which is midway between Town X and Town Z. How many hours does it take Scott to drive from Town Z to Town Y?

A. 1.0
B. 1.25
C. 1.5
D. 1.75
E. 2.0

The OA is E

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swerve: Legendary Member; Posts: 2229; Joined: Sun Oct 29, 2017 2:04 pm; Followed by:6 members

by swerve » Sat May 11, 2019 5:31 pm

Distance from X to Z =6 hr* 50 mph= 300 miles

Hence distance from Y to Z= 1/2*300=150

time=150/75=2 hr

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swerve: Legendary Member; Posts: 2229; Joined: Sun Oct 29, 2017 2:04 pm; Followed by:6 members

by swerve » Sat May 11, 2019 5:33 pm

Distance from X to Z =6 hr* 50 mph= 300 miles

Hence distance from Y to Z= 1/2*300=150

time=150/75=2 hr

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Scott@TargetTestPrep: GMAT Instructor; Posts: 7247; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Tue May 14, 2019 6:24 pm

BTGmoderatorLU wrote:Source: Manhattan Prep

Scott takes a trip and drives 6 hours from Town X to Town Z at a rate of 50 miles per hour. On his way back, Scott drives 75 miles per hour and stops in Town Y which is midway between Town X and Town Z. How many hours does it take Scott to drive from Town Z to Town Y?

A. 1.0
B. 1.25
C. 1.5
D. 1.75
E. 2.0

The OA is E

We see that the distance between Town X and Town Z is 6 x 50 = 300 miles, and since Town Y is halfway between Town X and Town Z, the distance between Town Z and Town Y is 150 miles. Since Scott is driving 75 mph from Town Z to Town Y, it takes him 150/75 = 2 hours to do so.

Answer: E

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deloitte247: Legendary Member; Posts: 2214; Joined: Fri Mar 02, 2018 2:22 pm; Followed by:5 members

by deloitte247 » Fri May 17, 2019 5:30 am

Distance = Speed * Time
Time X to Z = 50 * 6 = 300 miles
Town Y is midway between Town X and Z.
Therefore, the distance between Z to town Y = 300 * 1/2 = 150 miles

Moving at a speed of 75 mph, how many hours does it take Scott to drive from town Z to Y.
Time = Distance / Speed = 150 miles / 75 mph = 2 hrs

Time taken = 2 hours

Correct answer is option E

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