SOLUTION: Tom Travelled a distance of 265 miles. He drove at 40 mph during the first part of the trip and at 35 mph during the remaining part. If he made the trip in 7 hours, how long did he

Question 1006179: Tom Travelled a distance of 265 miles. He drove at 40 mph during the first part of the trip and at 35 mph during the remaining part. If he made the trip in 7 hours, how long did he travel at 40 mph?
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Call the time he traveled at 40 mph, t.
Then the time he traveled at 35 mph would be 7-t.
We then write
40t + 35(7-t) = 265
40t + 245 - 35t = 265
5t + 245 = 265
5t = 20
t = 4 hours at 40 mph
7-t = 3 hours at 35 mph
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