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Cyclist M leaves point P at 12 noon and travels at constant velocity

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Cyclist M leaves point P at 12 noon and travels at constant velocity [#permalink]

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Cyclist M leaves point P at 12 noon and travels at constant velocity in a straight path. Cyclist N leaves point P at 2 PM, travels the same path at a constant velocity, and overtakes M at 4 PM. What was the average speed of N?

(1) The velocity of Cyclist M was 20 miles per hour.
(2) When Cyclist N overtook Cyclist M, both had traveled 60 miles.
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Re: Cyclist M leaves point P at 12 noon and travels at constant velocity [#permalink]

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New post 23 May 2017, 04:30
Bunuel wrote:
Cyclist M leaves point P at 12 noon and travels at constant velocity in a straight path. Cyclist N leaves point P at 2 PM, travels the same path at a constant velocity, and overtakes M at 4 PM. What was the average speed of N?

(1) The velocity of Cyclist M was 20 miles per hour.
(2) When Cyclist N overtook Cyclist M, both had traveled 60 miles.



it took 2hrs for cyclist N to overtake..

stat1: the relative distance of M and N will be 40 miles.. speed of N is 60,,,suff

stat2: again we can calculate the speed of each,,suff,,

ans D
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Re: Cyclist M leaves point P at 12 noon and travels at constant velocity [#permalink]

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New post 24 May 2017, 22:26
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When two bodies move in same direction, their relative speed = difference of their speeds
Let velocity of M be m and let velocity of N be n. Their relative speed = n-m
First M moves for 2 hours, let distance covered be D, Then time taken to overtake, t = D/(n-m)

Here N overtakes M in two hours. So D/(n-m) = 2

Statement 1. m=20 mph. So, D = 20*2 = 40 miles So,
40/(n-20) = 2. n = 40 mph. Sufficient

Statement 2. N overtook M at 4 pm and at that time, both had travelled 60 miles.
M covers 60 miles from 12 to 4 pm. So m=60/4 = 15 mph
N covers 60 miles from 2 pm to 4 pm. So n = 60/2 = 30 mph.
Sufficient

Hence D answer

(Though I am confused because answers are coming different from the two statements. In GMAT, when the answer is 'D', both statements should give the same answer. Maybe I am missing something)
Re: Cyclist M leaves point P at 12 noon and travels at constant velocity   [#permalink] 24 May 2017, 22:26
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Cyclist M leaves point P at 12 noon and travels at constant velocity

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