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# The moving walkway is a 300-foot long walkway consisting of

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The moving walkway is a 300-foot long walkway consisting of [#permalink]  04 Oct 2008, 05:52
The ‘moving walkway’ is a 300-foot long walkway consisting of a conveyor belt that moves continuously at 3 feet per second. When Bill steps on the walkway, a group of people that are also on the walkway stands 120 feet in front of him. He walks toward the group at a combined rate (including both walkway and foot speed) of 6 feet per second relative to the ground. Once Bill reaches the group of people, he stops walking and stands with them until the walkway ends. What is Bill’s average rate of movement for his trip along the moving walkway?

* 2 feet per second
* 2.5 feet per second
* 3 feet per second
* 4 feet per second
* 5 feet per second
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Manager
Joined: 22 Sep 2008
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Re: MGMAT - Rate Problem [#permalink]  04 Oct 2008, 08:14
5 sec?

to cover 120 feet it will require 40 sec ,40*6 = 240

ramining 60 feet distance will cut in 20 sec.

40+20 =60 sec

300/60 = 5 sec will be avg
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Re: MGMAT - Rate Problem [#permalink]  04 Oct 2008, 08:41
st = v (the group)

(s+3)t = v+120 (Bill)

st = st+3t-120

120 = 3t

t=40 (sec)

total time (T) = 40+(300-240)/3 for Bill = 60 or (300-120)/3 = 60 for the group

300/60 = 5 feet per second

Re: MGMAT - Rate Problem   [#permalink] 04 Oct 2008, 08:41
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