A boat goes 30km upstream and 44km downstream in 10 hours. In 13 hours, it can go 40km upstream and 55km downstream. Determine the speed of the stream and that of the boat in still water.
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boat speed =x km/h
stream speed = y km/h
speed upstream is = (30+40)/(10+13) = 3.04
speed downstream = (44+55)/(10+13) = 4.30
so boat speed in still water = 1/2(3.04+4.30) = 3.67 km/h
and stream speed is = 1/2(4.30-3.04) = 0.63 km/h
stream speed = y km/h
speed upstream is = (30+40)/(10+13) = 3.04
speed downstream = (44+55)/(10+13) = 4.30
so boat speed in still water = 1/2(3.04+4.30) = 3.67 km/h
and stream speed is = 1/2(4.30-3.04) = 0.63 km/h
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A boat goes 30km upstream and 44km downstream in 10 hours
0.63km/hour
0.63km/hour
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