SOLUTION: five friends drove at an average rate of 60 miles per hour to a weekend retreat. on the way home they took the same route but averaged 75 miles per hour. what was the distance bet

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Question 534098: five friends drove at an average rate of 60 miles per hour to a weekend retreat. on the way home they took the same route but averaged 75 miles per hour. what was the distance between home and the retreat if the round trip took 10 hours?
Answer by lwsshak3(11628) About Me  (Show Source):
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five friends drove at an average rate of 60 miles per hour to a weekend retreat. on the way home they took the same route but averaged 75 miles per hour. what was the distance between home and the retreat if the round trip took 10 hours?
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let x=distance between home and the retreat
travel time=distance/rate of speed
..
x/60+x/75=10
75x+60x=10*60*75
135x=45000
x≈333.33 mi
ans:
distance between home and the retreat=333.33 miles