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Rate time and distance

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Rate time and distance

by leonswati » Fri Sep 16, 2011 11:29 am
Angela begins walking at 4 mph around a circular track with a radius of 8 miles. Exactly 5 hours later, Matt leaves from the same point in the opposite direction jogging at 6 mph. For how many hours will Angela have been walking when Matt has passed and moved 10 miles beyond her?
a. 1.6Ï€ - 1
b. 1.6Ï€ + 4
c. 2Ï€ - 1
d. 2.6Ï€ - 2
e. 3.6Ï€ - 2
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by leonswati » Fri Sep 16, 2011 11:38 am
The source is the practice test 4 in the kaplan website, however the same question set is also available at https://www.scribd.com/doc/58005404/GMAT ... et-4-Quant
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by aplavakarthik » Fri Sep 16, 2011 11:58 am
Hi,

radius of the circular track is 8 so the circumference is 16pi = 48(approx)
Now for mat to cross Angela by 10 miles they should travel a total of 48+10=58 km.(since in Matt starts in opposite direction they ll meet before Angela reaches to start point.)

Now the question is in how much time will it take for them to travel 38 miles(since Angela has already covered 20miles before Matt started)
38/10 = 3.8(10 because they together cover 10miles per hour)

It takes Angela 8.8 hours total. It ll go with option b/e

Imo b/e.

i ll go with e
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