Question

a boat covers a distance downstream in 4hrs but takes 6hrs to return upstream to the starting point.If the speed of the stream be 2km/hrs.find the of the boat in still water?​

Answer 1

Answer:

The speed of the boat in still water is 10 km/hr.

Step-by-step explanation:

Let speed of boat in still water be x km/hr

Given, Speed of the stream = 2 km/hr

Speed of boat downstream = (x+2) km/hr Speed of boat upstream = (x-2) km/hr

Distance covered by boat upstream = 6(x-2) km

Distance covered by boat downstream = 4(x+2) km

By condition,

6(x-2) = 4(x+2)

=> 6x - 12 = 4x + 8

=> 6x - 4x = 8 + 12

=> 2x = 20 => x = 10

Hence, the speed of boat in still water = x = 10 km/hr.

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