Problema Solution
when fritz drives to work his trip takes 36 minutes but when he takes the train it takes 20 minutes. find the distance fritz travels to work if the train travels an average of 32 miles per hour faster that his driving
Answer provided by our tutors
let
t1 = 36/60 = 3/5 hr the time that Fritz drives to work
t2 = 20/60 = 1/3 hr the time that Fritx travels with the train to work
v1 = the average speed driving
v2 = the average speed with train
d = the distance
since v=d/t we have
v1 = d/t1
v1 = d/(3/5)
v1 = 5d/3
v2 = d/t2
v2 = d/(1/3)
v2 = 3d
the train travels an average of 32 miles per hour faster that his driving:
v2 = 32 + v1
plug v1 = 5d/3 and v2 = 3d into the last equation:
3d = 32 + 5d/3
by solving we find:
d = 24 mi
click here to see the step by step solution of the equation:
the distance that Fritz travels to work is 24 miles.