A group of hikers is planning a trip that...

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

A group of hikers is planning a trip that...

by BTGmoderatorLU » Sat Oct 21, 2017 2:51 pm

A group of hikers is planning a trip that will take them up a mountain using one route and back down using another route. They plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up, but the time each route will take is the same. If they will go up the mountain at a rate of 4 miles per day and it will take them two days, how many miles long is the route down the mountain?

A. 4
B. 6
C. 8
D. 12
E. 16

The OA is D.

Can any expert explain this PS question? Please. Thanks.

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Source: Beat The GMAT — Problem Solving | Sat Oct 21, 2017 2:51 pm

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

by Jay@ManhattanReview » Mon Oct 23, 2017 3:45 am

LUANDATO wrote:A group of hikers is planning a trip that will take them up a mountain using one route and back down using another route. They plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up, but the time each route will take is the same. If they will go up the mountain at a rate of 4 miles per day and it will take them two days, how many miles long is the route down the mountain?

A. 4
B. 6
C. 8
D. 12
E. 16

The OA is D.

Can any expert explain this PS question? Please. Thanks.

We are given that the group will go up at a rate of 4 miles per day, thus the rate the group will come down at a rate of 4*1.5 = 6 miles per day.

Since the group took two days to go up, they would take two days to come down.

Distance of the route while coming down = time*rate = 2 days * 6 miles/day = 12 miles.

The correct answer: D

Hope this helps!

-Jay

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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

by Scott@TargetTestPrep » Sun Nov 17, 2019 7:07 pm

BTGmoderatorLU wrote:A group of hikers is planning a trip that will take them up a mountain using one route and back down using another route. They plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up, but the time each route will take is the same. If they will go up the mountain at a rate of 4 miles per day and it will take them two days, how many miles long is the route down the mountain?

A. 4
B. 6
C. 8
D. 12
E. 16

The OA is D.

Can any expert explain this PS question? Please. Thanks.

Since the rate going downhill is 4 x 1.5 = 6 miles per day and it will also take 2 days, the downhill route is 6 x 2 = 12 miles.

Answer: D

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