SOLUTION: Please help me answer this question: Richard's average driving speed is 8 kilometers per hour faster than Gracie's. In the same length of time it takes Richard to drive 534 kilo

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Question 913961: Please help me answer this question:
Richard's average driving speed is 8 kilometers per hour faster than Gracie's. In the same length of time it takes Richard to drive 534 kilometers, Gracie drives only 486 kilometers. What is Richard's average speed?

Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
r*t=d
t=d/r
t=486/r
(r+8)*t=534
t=534/(r+8)
t=486/r
486/r=534/(r+8)
534*r=486*(r+8)
534*r=486*r+486*8
48*r=486*8
r=3888/(48)
r=81 mph
r+8=89 mph
check
486/81=534/(81+8)
6=6
ok
codedrtddfst

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