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# rate question

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Intern
Joined: 19 Nov 2004
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rate question [#permalink]  26 Nov 2004, 20:03
here's a rate question off the online kaplan gmat test:

jan: reads 30 pages per hour

steve: reads 40 pages per hour

jan starts reading a novel at at 4:30 pm
steve starts reading the same novel at at 5:20 pm

at what time will they be on the same page?

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Manager
Joined: 24 Oct 2004
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at 7.50 PM both will be on the same page
Manager
Joined: 31 Aug 2004
Posts: 169
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Re: rate question [#permalink]  26 Nov 2004, 21:53
mike8c wrote:
here's a rate question off the online kaplan gmat test:

jan: reads 30 pages per hour

steve: reads 40 pages per hour

jan starts reading a novel at at 4:30 pm
steve starts reading the same novel at at 5:20 pm

at what time will they be on the same page?

My soution:

Let X = hours jan spent

30X = total pages jan reads, 40(X-5/6) = total pages steve reads

5/6 = (5:20pm - 4:30pm)/60minutes = 50minutes/60minutes

30 pages/hr * Xhr = 40pages/hr * (X-5/6) hr
30X = 40X - 200/6
10X = 200/6, X = 20/6 = 3 1/3

4:30pm + 3 1/3 hours = 7:50pm
Director
Joined: 07 Nov 2004
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Got 7:50 as well. Same logic as above.
Intern
Joined: 19 Nov 2004
Posts: 10
Followers: 0

Kudos [?]: 0 [0], given: 0

thanks a lot [#permalink]  27 Nov 2004, 19:43
thanks a lot   [#permalink] 27 Nov 2004, 19:43
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# rate question

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