SOLUTION: On a round trip of 350 miles in each direction, Joseph averaged 10mph more returning than he did going. If the return trip took 4 hours less time, find the time for each directio
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Question 167344: On a round trip of 350 miles in each direction, Joseph averaged 10mph more returning than he did going. If the return trip took 4 hours less time, find the time for each direction. Answer by Mathtut(3670) (Show Source):
You can put this solution on YOUR website! d=r*t
distance going =distance returning=350
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so r*t going = r*t returning
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rt=(r+10)(t-4)
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rt=rt-4r+10t-40-----> we have -4r+10t-40=0 since t=350/r
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we have -4r+10(350/r)-40=0
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-4r+(3500/r)-40=0---->mult by r--->
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quadratic formula yields 25 and -35...we throw out the negative value
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r=25 going
r+10=35 returning
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time going hours
time returning hours
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