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Timothy leaves home for school, riding his bicycle

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Timothy leaves home for school, riding his bicycle [#permalink] New post 02 Sep 2012, 14:59
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Difficulty:

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Question Stats:

71% (02:50) correct 29% (02:04) wrong based on 102 sessions
Timothy leaves home for school, riding his bicycle at a rate of 9 miles per hour. Fifteen minutes after he leaves, his mother sees Timothy’s math homework lying on his bed and immediately leaves home to bring it to him. If his mother drives at 36 miles per hour, how far (in terms of miles) must she drive before she reaches Timothy?

A) 1/3
B) 3
C) 4
D) 9
E) 12

I think is a 700 level problem but I tag it as 600/700, let me know. Either way I hope in an explanation :) Thanks
[Reveal] Spoiler: OA

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Re: Timothy leaves home for school, riding his bicycle [#permalink] New post 02 Sep 2012, 19:41
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Timothy leaves home for school, riding his bicycle at a rate of 9 miles per hour. Fifteen
minutes after he leaves, his mother sees Timothy’s math homework lying on his bed and
immediately leaves home to bring it to him. If his mother drives at 36 miles per hour, how far
(in terms of miles) must she drive before she reaches Timothy?

A) 1/3

B) 3

C) 4

D) 9

E) 12

Suppose Timothy's mom meets him after time 't'

Then distance traveled by his mom = distance traveled by him in (15mins) + distance traveled by him in time 't'

=> 36 * t = 9 *(15/60) + 9*t
=> t = (1/12) hrs

Distance traveled = 36 * t = 36 * (1/12) miles = 3miles

So, Answer will be B

And am not sure about the tag but i guess 600-700 is fine.

Hope it helps!
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Re: Timothy leaves home for school, riding his bicycle [#permalink] New post 23 Aug 2014, 19:51
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Timothy leaves home for school, riding his bicycle   [#permalink] 23 Aug 2014, 19:51
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