SOLUTION: A driver averaged 54 miles per hour on the round trip between home and a city 81 miles away. The average speeds for going and returning were x and y miles per hour
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Question 637106: A driver averaged 54 miles per hour on the round trip between home and a city 81 miles away. The average speeds for going and returning were x and y miles per hour
Find an expression for y in terms of x
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
If it is 81 miles from home to city, then it is 162 miles round trip (unless someone picked up home and moved it during the trip). If the average speed for the round trip was 54 mph, then dividing the distance by the rate gives the time of 3 hours for the round trip. Let 
be the time for the outbound trip at 
mph, then the time for the return trip had to be 
at 
mph.
Given a constant distance, the outbound trip is then 
and the return trip is \ =\ 81)
. Since 81 equals 81, we can say:
\ =\ xt)
or
John
My calculator said it, I believe it, that settles it
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