SOLUTION: Randy can row upstream at 4 mph and downstream at 10mph. If the round trip from Randys home upstream to Sandys home (and back) takes 9.5 hours then about how far apart are their ho

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Question 509029: Randy can row upstream at 4 mph and downstream at 10mph. If the round trip from Randys home upstream to Sandys home (and back) takes 9.5 hours then about how far apart are their homes?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Randy can row upstream at 4 mph and downstream at 10mph.
If the round trip from Randys home upstream to Sandys home (and back) takes 9.5 hours then about how far apart are their homes?
:
Let d = the one-way distance
:
Write a time equation; time = dist/speed
:
up time + down time = 9.5 hrs
d%2F4 + d%2F10 = 9.5
multiply by 20 to clear the denominators
5d + 2d = 20*9.5
7d = 190
d = 27.14 ~ 27 miles apart
:
:
Check this solution find the time for each way
27/4 = 6.75
27/10= 2.70
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total: 9.45 ~ 9.5