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.
________________speed__________time__________distance
hway____________3r_____________150/(3r)_________150
mountn__________r______________50/r___________50
TOTAL___________________________5____________200
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 ;
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