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One hour after Yolanda started walking from X to Y, a distan

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One hour after Yolanda started walking from X to Y, a distan [#permalink] New post 28 Jan 2004, 15:43
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One hour after Yolanda started walking from X to Y, a distance of 45 miles, Bob started walking along the same road from Y to X. If Yolanda's walking rate was 3 miles per hour and Bobт's was 4 miles per hour, how many miles had Bob walked when they met?

(A) 24
(B) 23
(C) 22
(D) 21
(E) 19.5
[Reveal] Spoiler: OA

Last edited by Bunuel on 19 Sep 2013, 00:09, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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 [#permalink] New post 29 Jan 2004, 11:04
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When bob starts walking The distance between them is 45-3 = 42 miles
If they meet at time t then Yolanda would have walked
X/3 minutes and Bob would have walked (42-X)/4 mins
X/3 = (42-X)/4 so X = 18
Bob would have walked 42-18 = 24 miles.
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One hour after Yolanda started walking from X to Y, a distan [#permalink] New post 18 Jul 2010, 09:52
One hour after Yolanda started walking from X to Y, a distance of 45 miles, Bob started walking along the same road from Y to X. If Yolanda's walking rate was 3 miles per hour and Bob's was 4 miles per hour, how many miles had Bob walked when they met?

A. 24
B. 23
C. 22
D. 21
E. 19,5
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Re: Problem Solving : Average [#permalink] New post 18 Jul 2010, 13:44
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EnterMatrix wrote:
One hour after Yolander started walking from X to Y, a distance of 45 miles, Bob started walking along the same road from Y to X. If Yolander’s walking rate was 3 miles per hour and Bob’s was 4 miles per hour, how many miles had Bob walked when they met?
○ 24
○ 23
○ 22
○ 21
○ 19.5


When B started walking Y already has covered 3 miles out of 45, hence the distance at that time between them was 45-3=42 miles.

Combined rate of B and Y was 3+4=7 miles per hour, hence they would meet each other in 42/7=6 hours. In 6 hours B walked 6*4=24 miles.

Answer: A.
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Re: One hour after Yolanda started walking from X to Y, a [#permalink] New post 30 Nov 2011, 11:48
When bob starts walking The distance left between them is 45-3 = 42 miles

Time taken to meet = Distance / Relative speed
= 42/(3+4) = 6 hours

so, bob walked = 6 x 4 = 24 miles
Ans. A.
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Re: One hour after Yolanda started walking from X to Y, a [#permalink] New post 01 Dec 2011, 03:53
3+3t+4t=45
t=6
Bob==>4*6=24
==>A
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Re: One hour after Yolanda started walking from X to Y, a [#permalink] New post 18 Sep 2013, 17:03
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Re: One hour after Yolanda started walking from X to Y, a distan [#permalink] New post 24 Mar 2014, 03:11
Let say they meet after x hrs.

so 3x + 4 (x-1) = 45 "As Bob started after an hour"

after solving the above equation we get answer as 24
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Re: One hour after Yolanda started walking from X to Y, a distan [#permalink] New post 27 Mar 2014, 02:12
Yolanda has already covered 3 kms out of 45

So remaining distance = 42

Time taken by both to meet at a point will be the same in the stretch of 42 kms

Bob travels distance = x
Speed = 4

Yolaondu will travel = 42 - x
Speed = 3

\frac{x}{4} = \frac{42-x}{3}

x = 24 = Answer = A
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Re: One hour after Yolanda started walking from X to Y, a distan [#permalink] New post 23 Oct 2014, 01:38
Since the speed of both are 3 and 4 , the end answer must be a multiple of both . Only 24 is present in that case.

This method might help in the worst case.
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Re: One hour after Yolanda started walking from X to Y, a distan   [#permalink] 23 Oct 2014, 01:38
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