A truck travels 400 miles on level road in the same amount of time it travels 160 miles on a mountainous road. If the rate of the truck is 30mile per hour less on the mountain road than on the level road, find its rate on both roads.

Question

wolf1728 · Answer

R1 = Rate1 
R2 = Rate2

The time is
A) 400/R1 = 160/R2

Rates
B) R1 = R2 +30
Putting R2 +30 into equation A
400/(R2+30) = 160/R2
400R2 = 160R2 +4800
240R2 = 4800
R2 = 20
R1 = 50

Time 
400/50 = 8 Hours
160/20 = 8 Hours

anonymous · Answer

thank you