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Rates GMAC paper text problem

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Rates GMAC paper text problem

by tonebeeze » Mon May 16, 2011 3:47 pm
The time it took car A to travel 400 miles was 2 hours less than the time it took car B to travel the same distance. If car A's average speed was 10 miles per hour greater than that of car B, what was car B's average speed, in miles per hour?

a. 20
b. 30
c. 40
d. 50
e. 80

OA = C
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by pankajks2010 » Mon May 16, 2011 6:59 pm
As per the given information and assuming the speed of car B to be x, we can frame the following equation:

400/x-400/x+10=2; 4000=2(x^2+10x); x^2+10x-2000=0; x=40 or x=-50

As, we can ignore the negative speed, the answer is C
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