Find the distance Fritz travels to work

Question

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 48 miles per hour faster than his driving. Assume that the train travels the same distance as the car.

Answer 1

d = r x t

 

the two distances are equal.

 

r x .60 hr = (r + 48).33  

 

.60r = .33r + 16

 

.27r = 16

 

r = 59.26 miles/hr x .60 hr = 35.56 miles