Problema Solution
A car travels 400 miles on level terrain in the same amount of time it travels 160 miles on mountainous terrain. If the rate of the car is 30 miles per hour less in mountains than on level ground, find its rate in the mountains.
Answer provided by our tutors
let
the rate of the in the mountains: v
the rate of the car on the level ground: v + 30
since speed = distance/time => time = distance/speed
400/(v + 30) = 160/v
by solving we find
v = 20 mph
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the rate of the car in the mountains is 20 miler per hour.