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

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Senior Manager
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Tom reads at an average rate of 30 pages per hour, while Jan [#permalink] New post 23 Dec 2003, 19:28
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 page?

9:30
9:00
8:40
7:50
7:00
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shubhangi

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 [#permalink] New post 23 Dec 2003, 20:04
Sorry, I have to leave now but I'll give you the working when I'll get home in about 2 hours. Unless you get it from someone else before I give it out... :(
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 [#permalink] New post 23 Dec 2003, 20:09
D

make the grid and solve.

T 30/hr = 1/2 page per min
5:30 would have finished = 30
7:30 would have finished = 60
8:30 would have finished = 90

J 40/hr = 4/6 per min
6:20 would have finished = 40
7:20 would have finished = 80
8:20 would have finished = 120

T at 7:50 = 90+1/2*20 = 100 ----- 20 mins after 7:30
J at 7:50 = 80 + 4/6*30 = 100 ----- 30 mins after 7:20
Director
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 [#permalink] New post 23 Dec 2003, 20:20
Another way to think about it:

Think of this as a distance problem in drag: D=R*T

Distance for the slow dude: 30 mph or ppm

Distance for the faster chick 40 mph or ppm

Tom has a 50 min jump on the faster chick thus T+5/6 for the dude and T for Jan.

Make the distances equal.

30(T+5/6)=40T

Solve for T: T=2.5

Add 2.5 to 5:20 (when Jan starts) = 7:50 and D is your answer!

Hope this helps dude.
Director
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 [#permalink] New post 23 Dec 2003, 20:34
No DJ - You Da Man! :-D
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 [#permalink] New post 23 Dec 2003, 20:54
Damn, just got home but I can see that you guys outplayed me :-D
Director
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 [#permalink] New post 23 Dec 2003, 20:57
That was a long commute - did you stop for a cold one along the way? :wink:
  [#permalink] 23 Dec 2003, 20:57
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Tom reads at an average rate of 30 pages per hour, while Jan

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