SOLUTION: a motorist drove 150 miles on the highway before driving 50 miles on the mountain roads.the rate speed on the highway was 3 times the rate on the mountain roads. the time spent tra
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Question 845915: a motorist drove 150 miles on the highway before driving 50 miles on the mountain roads.the rate speed on the highway was 3 times the rate on the mountain roads. the time spent travelling the 200 miles was 5 hours. find the rate of the motorist on the highway? Answer by josgarithmetic(39615) (Show Source):
You can put this solution on YOUR website! ________________speed__________time__________distance
hway____________3r_____________(___)_________150
mountn__________r______________(___)_________50
TOTAL___________________________5____________200
R*T=D for Rate, Time, Distance;
This means T=D/R allowing to find the missing time expressions.
The question asks, what is r, the speed on the mountain roads. It is found using the time sum equation for this problem, , easily simplified to, ;
and easily finished as ;
(