SOLUTION: a motorist drove 150 miles on a country roads before driving 50 miles on a mountain roads. The rate of speed on the country roads was three times the rate on the mountain roads. Th
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Question 501037: a motorist drove 150 miles on a country roads before driving 50 miles on a mountain roads. The rate of speed on the country roads was three times the rate on the mountain roads. The time spend traveling was 200 miles was 5 hours. Find the rate of the motorist on the country roads Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! a motorist drove 150 miles on a country roads before driving 50 miles on a mountain roads.
The rate of speed on the country roads was three times the rate on the mountain roads.
The time spend traveling was 200 miles was 5 hours.
Find the rate of the motorist on the country roads
:
Let s = his speed on mountain road
then
3s = his speed on country roads
:
Write a time equation; time = dist / speed
:
Country Rd time + Mtn Rd time = 5 hrs + = 5
reduce the 1st fraction + = 5
: = 5
5s = 100
s = 20 mph in the mts
then
2(20) = 60 mph on the country roads
:
;
Check by finding the actual time on each
150/60 = 2.5 hrs
50/20 = 2.5 hrs
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total time 5 hrs
