SOLUTION: Barbara can paddler her canoe 48 miles with the current in the same time it takes her to paddle 24 miles against the current. If the spped of the current is 2 miles per hour, find
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Question 221312: Barbara can paddler her canoe 48 miles with the current in the same time it takes her to paddle 24 miles against the current. If the spped of the current is 2 miles per hour, find the speed of the boat in still water.
(I have solved it like this:
still water = 2x
with current= 24 miles(x-2)
against current =48(x+2)
2x+24(x-2)=48(x+2)
2x+24x-48=48x+96
96+48=48x-24x-2x
144/22x
x=6.5 mph in still water?????
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Barbara can paddler her canoe 48 miles with the current in the same time it takes her to paddle 24 miles against the current. If the spped of the current is 2 miles per hour, find the speed of the boat in still water.
(I have solved it like this:
still water = 2x
with current= 24 miles(x-2)
against current =48(x+2)
2x+24(x-2)=48(x+2)
2x+24x-48=48x+96
96+48=48x-24x-2x
144/22x
x=6.5 mph in still water?????
-----------------
48 miles/(6.5 + 2) =? 24 miles/(6.5 - 2)
48/8.5 =? 24/4.5 It's not, so 6.5 doesn't fit.
---------------
r = speed of the boat
d = rt
48/(r+2) = 24/(r-2)
48(r-2) = 24(r+2)
48r-96 = 24r+48
24r = 144
r = 6 mph
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