SOLUTION: Distance word problem
When Fritz drives to work, his trip takes 36 minutes. On days when he takes the train to work, his trip is only 20 minutes. What is the distance of Fritz's
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Question 331900: Distance word problem
When Fritz drives to work, his trip takes 36 minutes. On days when he takes the train to work, his trip is only 20 minutes. What is the distance of Fritz's trip is the train travels 32 miles per hour faster than driving?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let driving speed =x
train speed = x+32
..
time by drive = 36 minutes . 36/60 hours=3/5 hours
time by train = 20 minutes. 20/60 hours = 1/3 hours
..
the distance is the same to his work place
..
distance = speed * time
3x/5 = 1/3 *(x+32)
3*3x=5*(x+32)
9x=5x+160
add -5x
9x-5x=5x-5x+160
4x= 160
divide by 4
x=40 miles.
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