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

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Director
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Tom reads at an average rate of 30 pages per hour while Jan [#permalink] New post 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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 [#permalink] New post 09 Jan 2006, 22:39
Are you referring to am/pm? 4:20 am is 0420 hrs while 4:20 pm is 1620 hrs.
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 [#permalink] New post 09 Jan 2006, 22:41
that should help..pm's
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 [#permalink] New post 09 Jan 2006, 22:50
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
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 [#permalink] New post 09 Jan 2006, 22:53
Excellent work.

it took me 5 min to solve this question.. u made it look way too simple
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 [#permalink] New post 11 Jan 2006, 06:31
Would this question be considered a "difficult-level" question on the test? I'm having a horrible time setting up these problems.

Thanks!
  [#permalink] 11 Jan 2006, 06:31
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