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

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

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09 Jan 2006, 22:12
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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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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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09 Jan 2006, 22:41
that should help..pm's
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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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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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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!
11 Jan 2006, 06:31
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