SOLUTION: Matthew drove 20 km at a steady speed to get to the highway. Once on the highway he increased the speed by 40 km/h and traveled another 75 km. If the entire trip was completed in 1

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Question 1124533: Matthew drove 20 km at a steady speed to get to the highway. Once on the highway he increased the speed by 40 km/h and traveled another 75 km. If the entire trip was completed in 1 h and 14 min, what was his speed on each part of the trip?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
                     SPEED      TIME                   DISTANCE

Road Before Hwy         r       20%2Fr                20

On the Highway        r+40      75%2F%28r%2B40%29           75

TOTAL                            1%2614%2F60

Solve the time sum equation for r.
20%2Fr%2B75%2F%28r%2B40%29=1%2614%2F60