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# Tom reads at an average rate of 30 pages per hour while Jan

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Director
Joined: 24 Oct 2005
Posts: 576
Location: NYC
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Tom reads at an average rate of 30 pages per hour while Jan [#permalink]  09 Jan 2006, 22:12
Tom reads at an average rate of 30 pages per hour while Jan reads at an average rate of 40 pages per hour. If Tom starts reading a novel at 4:30 and Jan begins reading an identical copy of the same book at 5:20, at what time will they be reading the same pages?

1. 9:30
2.9:00
3.8:40
4.7:50
5.7:00
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GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5079
Location: Singapore
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Kudos [?]: 180 [0], given: 0

Are you referring to am/pm? 4:20 am is 0420 hrs while 4:20 pm is 1620 hrs.
Director
Joined: 24 Oct 2005
Posts: 576
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that should help..pm's
_________________

Success is my only option, failure is not -- Eminem

GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5079
Location: Singapore
Followers: 21

Kudos [?]: 180 [0], given: 0

Tom: 30 pages/hr. n page = n/30 hr
Jan: 40 pages/hr. n page = n/40 hr

The time they hit the same page will be the same. So:

4:30 + n/30 = 5:20 + n/40

n/30-n/40 = 5/6 hr
n = 5/6 * 120 = 100 pages

So time wil be 4:30 + 100/30 hr = 4:30 + (3 hr 20 mins) = 7:50pm
Director
Joined: 24 Oct 2005
Posts: 576
Location: NYC
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Excellent work.

it took me 5 min to solve this question.. u made it look way too simple
_________________

Success is my only option, failure is not -- Eminem

Manager
Joined: 19 Jul 2005
Posts: 67
Location: Atlanta
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Would this question be considered a "difficult-level" question on the test? I'm having a horrible time setting up these problems.

Thanks!
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