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!

_________________

Ankit

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