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 21 m

Algebra ->  Rate-of-work-word-problems -> 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 21 m      Log On


   

Question 393883: 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 21 miles per hour faster than his driving.
Answer by lwsshak3(11628) About Me  (Show Source):
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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 21 miles per hour faster than his driving.
distance = speed *time of travel
let x= speed of auto
x+21 = speed of train
convert travel time to hours
36 min =36/60 hours = .6 hours
20 min =1/3 hours
distance auto traveled = .6x=(1/3)*(x+21)
.6x=x/3+7
1.8x=x+21
.8x=21
x=26.25 mi
distance = .6*26.25=15.75 miles=1/3(26.25+21)
ans: the distance Fritz travels to work is 15.75 miles