SOLUTION: A boat can travel 114 miles upstream in the same time that it can travel 186 miles downstream. If the speed of the current is 6 miles per hour, find the speed of the boat without a
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Question 800356: A boat can travel 114 miles upstream in the same time that it can travel 186 miles downstream. If the speed of the current is 6 miles per hour, find the speed of the boat without a current.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A boat can travel 114 miles upstream in the same time that it can travel 186 miles downstream.
If the speed of the current is 6 miles per hour, find the speed of the boat without a current.
:
Let s = boat speed in still water
then
(s-6) = effective speed upstream
and
(s+6) = effective speed downstream
:
Write a time equation, time = dist/speed
time down = time up
=
Cross multiply
186(s-6) = 114(s+6)
186s - 1116 = 114s + 684
186s - 114s = 1116 + 684
72s = 1800
s = 1800/72
s = 25 mph in still water
:
:
Check this by finding the times each way
186/31 = 6 hrs
114/19 = 6 hrs
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