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A rows a boat 100 km in 20 hours downstream and 72 km in upstream in 18 hours. Find the speed of the boat in still water.

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A rows a boat 100 km in 20 hours downstream and 72 km in upstream in 18 hours. Find the speed of the boat in still water.


1). 6.5 km/h
2). 4.5 km/h
3). 6 km/h
4). 7 km/h


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3 vote
Answered by on | Votes 3 |

Let speed of boat in still water is SB and speed of stream is SC and Speed of boat in upstream and downstream is SU and SD

Speed of boat in still water SB = 1/2 × (SD + SU)

⇒ 1/2 × (100/20 + 72/18)

⇒ 0.5 × (5 + 4)

∴ The speed of boat in still water = 4.5 km/hr

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