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# The time it took car A to travel 400 miles was 2 hours less

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The time it took car A to travel 400 miles was 2 hours less [#permalink]

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12 Jan 2007, 11:10
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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
Director
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12 Jan 2007, 12:28
Let s be the speed of B
Let x be the time taken by B

The equation here using distance = speed*time is:

For A --> 400/(s+10) = x-2

For B --> 400/s = x

equating for x, we get s= 40.
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12 Jan 2007, 13:24
Yeah came up with the same solution as above!

C for me.
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Try and try until you succeed! There is just no giving up!

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12 Jan 2007, 19:38
A: V + 10, T - 2
B: V, T

400 = (V + 10) * (T - 2) = VT =>

5T - V = 10.

For VT = 400, we obtain T = 10 and V = 40.

C.

IÂ´d say basic to medium difficulty.
12 Jan 2007, 19:38
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