A boat goes 30 km upstream and 44 km downstream in 10 hours. It also goes 40 km upstream and 55 km downstream in 13 hours. Find the speed of the boat in still water.

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Accepted Answer

8 km/h. Let u=1/U, d=1/D. 30u+44d=10 and 40u+55d=13. Multiply by 4 and 3: 120u+176d=40, 120u+165d=39 11d=1 D=11. Then 30u=10-4=6 U=5. Boat = 11+5/2=8 km/h.

A boat goes 30 km upstream and 44 km downstream in 10 hours. It also goes 40 km upstream and 55 km downstream in 13 hours. Find the speed of the boat in still water.

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