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A group of hikers is planning a trip that will take them up a mountain

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A group of hikers is planning a trip that will take them up a mountain  [#permalink]

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New post 15 Aug 2016, 04:01
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

82% (01:24) correct 18% (02:04) wrong based on 33 sessions

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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

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Re: A group of hikers is planning a trip that will take them up a mountain  [#permalink]

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New post 15 Aug 2016, 04:36
Bunuel 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


D = S*T

Given condition is for UP the mountain hikers takes 4 miles per day and total 2 days... miles = 8 miles...

For DOWN speed they take = 3/2(4) = 6 miles per day and for the same 2 days... miles = 12 miles..

IMO option D is correct answer..

OA please..will correct if I missed anything..
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Re: A group of hikers is planning a trip that will take them up a mountain  [#permalink]

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New post 22 Nov 2019, 12:33
Bunuel 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



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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Re: A group of hikers is planning a trip that will take them up a mountain   [#permalink] 22 Nov 2019, 12:33
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