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) About Me  (Show Source):
You can put this solution on YOUR website!
d=r*t
distance going =distance returning=350
:
so r*t going = r*t returning
:
rt=(r+10)(t-4)
:
rt=rt-4r+10t-40-----> we have -4r+10t-40=0 since t=350/r
:
we have -4r+10(350/r)-40=0
:
-4r+(3500/r)-40=0---->mult by r--->-4r%5E2%2B3500-40r=04r%5E2%2B40r-3500=0
:
quadratic formula yields 25 and -35...we throw out the negative value
:
r=25 going
r+10=35 returning
:
time going highlight%28350%2F25=14%29 hours
time returning highlight%2814-4=10%29 hours