SOLUTION: Mike drove at a rate of 40 miles per hour. He returned by the same route at a rate of 45 miles per hour. The driving time for the round trip was 4 hours. What is the distance Mike

SOLUTION: Mike drove at a rate of 40 miles per hour. He returned by the same route at a rate of 45 miles per hour. The driving time for the round trip was 4 hours. What is the distance Mike

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Question 334727: Mike drove at a rate of 40 miles per hour. He returned by the same route at a rate of 45 miles per hour. The driving time for the round trip was 4 hours. What is the distance Mike traveled?
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
D=rt
D =rt1
D= 40t1
similarly
D=45t2
40t1=45t2
t1/t2 =45/40=9/8
t1=9t2/8
t1+t2= 4
9t2/8 +t2 =4
17t2 = 32
t2 =32/17hours and t1=36/17hours.
D =45*32/17 =40*36/17
D= 84.71 miles.

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