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

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Intern
Joined: 21 Sep 2006
Posts: 43
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The time it took car A to travel 400 miles was 2 hours less [#permalink]  12 Jan 2007, 10:10
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
Joined: 28 Dec 2005
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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.
Manager
Joined: 28 Feb 2006
Posts: 85
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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!

Senior Manager
Joined: 24 Nov 2006
Posts: 351
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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.
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