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

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Senior Manager
Joined: 30 Aug 2003
Posts: 318

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Location: dallas , tx
Tom reads at an average rate of 30 pages per hour, while Jan [#permalink]

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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
_________________

shubhangi

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GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4284

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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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Director
Joined: 13 Nov 2003
Posts: 957

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Location: Florida

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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

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Director
Joined: 14 Oct 2003
Posts: 581

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Location: On Vacation at My Crawford, Texas Ranch

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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

Hope this helps dude.

Kudos [?]: 59 [0], given: 0

Director
Joined: 14 Oct 2003
Posts: 581

Kudos [?]: 59 [0], given: 0

Location: On Vacation at My Crawford, Texas Ranch

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23 Dec 2003, 20:34
No DJ - You Da Man!

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GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4284

Kudos [?]: 545 [0], given: 0

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23 Dec 2003, 20:54
Damn, just got home but I can see that you guys outplayed me

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Director
Joined: 14 Oct 2003
Posts: 581

Kudos [?]: 59 [0], given: 0

Location: On Vacation at My Crawford, Texas Ranch

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23 Dec 2003, 20:57
That was a long commute - did you stop for a cold one along the way?

Kudos [?]: 59 [0], given: 0

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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