SOLUTION: A motorist drove 150 miles on country roads before driving 50 miles on mountain roads. The rate of speed on the country roads was three times the rate on the mountain roads. The ti

Question 658559: A motorist drove 150 miles on country roads before driving 50 miles on mountain roads. The rate of speed on the country roads was three times the rate on the mountain roads. The time spent traveling the 200 miles was 5 hours. Find the rate of the motorist on the country roads.
Answer by kevwill(135) (Show Source): You can put this solution on YOUR website!
Let r be the motorists rate on the mountain roads. Then his rate on country roads is 3r.
So is time on country roads is 150/3r, and his time on mountain roads is 50/r. The sum of these two times is 5 hours:

Cross-multiplying:

The motorist's rate on mountain roads was 20 mph and his rate on country roads was 60 mph.

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