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

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Director
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One hour after Yolanda started walking from X to Y, a [#permalink]  13 Mar 2008, 18:15
One hour after Yolanda started walking from X to Y, a distance of 45 miiles, Bob started walking along the same road from Y to X. If Yolanda's walking rate was 3 miles /hour and Bob's was 4 miles / hour, how many miles had Bab walked when they met?

24
23
22
21
19.5

Please provide a detailed explaination. Thanks
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Re: Work Problem [#permalink]  13 Mar 2008, 18:27
would this be 24 ?
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Re: Work Problem [#permalink]  13 Mar 2008, 18:53
D - 24

In an hour Yolanda would have travelled 3 miles, so the distance between them when Bob started would be 42

If Yolanda travelled x and Bob y before they met...

x/3=y/4
and x+y=42

you can either solve the above or substitute the answers and see which one fits.
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Re: Work Problem [#permalink]  13 Mar 2008, 21:51
let t be the time when Bob started walking. You know that Yolanda started wlaking 1 hour later - t+1. To find how many hours have passed when they met, you sum the distances (using formula distance=speed*time).

So, 3(t+1)+4t=45
7t=42
t=6

But t was Bob's time. To find the distance you multiply 6 by 4=24.
Re: Work Problem   [#permalink] 13 Mar 2008, 21:51
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