Problema Solution
While driving to Vermont, Frank averaged 60 mph.On the way back home, he was able to averaged 70 mph. The trip back home took one hour less than the trip to Vermont. Find the distance from from his home to Vermont.
Answer provided by our tutors
let
d = the distance from Frank's home to Vermont
v1 = 60 mph the average speed on the way to Vermont
v2 = 70 mph the average speed of the back home
since speed = distance/time we have time = distance/speed
the time of the travel to Vermont is: d/v1
the time of the travel back home is: d/v2
The trip back home took one hour less than the trip to Vermont:
d/v2 = d/v1 - 1
d/70 = d/60 - 1
by solving we find:
d = 420 mi
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the distance from home to Vermont is 420 miles.