SOLUTION: Travis made a business trip of 198 miles. He averaged 63 mph for the first part of the trip and 54 mph for the second part. If the trip took 3.5 hours, how long did he travel at
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Question 1022569: Travis made a business trip of 198 miles. He averaged 63 mph for the first part of the trip and 54 mph for the second part. If the trip took 3.5 hours, how long did he travel at each rate?
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Call the time he took on the first part, t.
Then the time he took on the second part was 3.5-t.
Then we can write, noting that rate times time = distance,
63t + 54(3.5 - t) = 198
63t + 189 - 54t = 198
9t + 189 = 198
9t = 9
t = 1 hour at 63 mph
and then
3.5-t = 2.5 hours at 54 mph
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