A person walks to school at 3 mph and returns walking 5 mph. The total trip took 1 hour. What is the distance the person walked?
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A person walks at a rate of 3mph to a destination. The person walks at a rate of 5mph on the return trip. The round trip takes 1 hour. We are to find the distance walked.
=> let time walked at 3mph = t
=> let time walked at 5mph = 1 - t
=> We choose to solve for t (the time walked at 3mph) using the distance formula. We know that the distance on the first part of the trip is equal to the distance of the return trip.
=> d = rt
=. distance walked at 3mph = distance walked at 5 mph
=> 3t = 5( 1 - t)
=> 3t = 5 - 5t
=> 8t = 5
=> t = 5/8 hour
We now substitute 5/8 hour for t into the distance formula.
=> d = rt
=> d = 3(5/8)
=> d = 1 7/8 miles
The walked on each part of the trip was 1 7/8 miles.
The total distance walked to and from was 3 3/4 miles.
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