Any faster method to solve this?

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Any faster method to solve this?

by gmatblood » Sat Oct 29, 2011 12:44 pm
Car B starts at point X and moves clockwise around a circular track at a constant rate of 2 mph. Ten hours later, Car A leaves from point X and travels counter-clockwise around the same circular track at a constant rate of 3 mph. If the radius of the track is 10 miles, for how many hours will Car B have been traveling when the cars have passed each other for the first time and put another 12 miles between them (measured around the curve of the track)?

A 4 \pi - 1.6
B 4 \pi + 8.4
C 4 \pi + 10.4
D 2 \pi - 1.6
E 2 \pi - 0.8
Source: — Problem Solving |

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by rijul007 » Sat Oct 29, 2011 1:15 pm
Circumference of the circular track = 2*pi*r = 20*pi

After 10 hrs,
A will have travelled 20 miles
When A starts from X,
distance between A and B =>20*pi - 20

A and B movin towards each other, time after which they will pass each oter andput another 12 miles b/w them=>
(20*pi -20+12)/(2+3)
=>4*pi - 1.6

Option A

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by neelgandham » Sun Oct 30, 2011 2:19 am
I have posted a solution here earlier this month : https://www.beatthegmat.com/need-an-easy ... 93528.html
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