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A motor-boat takes 2 hours more to cover a distance of 30 ,km

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A motor-boat takes $2$ hours more to cover a distance of $30 km$ upstream than it takes to cover the same distance downstream.If the speed of the stream is $2 km / h r$ . Find the speed of boat is still water.

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A motor-boat takes

2

hours more to cover a distance of

30 km

upstream than it takes to cover the same distance downstream.If the speed of the stream is

2 km / h r

. Find the speed of boat is still water.

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Text solutionVerified

Let speed in still water be

x

Speed upstream

= x - 2

Speed downstream

= x + 2

Time upstream

= \frac{30}{x - 2}

Time downstram

= \frac{30}{x + 2}

Given:

\frac{30}{x - 2} = \frac{30}{x + 2} + 2

\frac{30}{x - 2} - \frac{30}{x + 2} = 2

\frac{30 ( x + 2 - x + 2 )}{x ^{2} - 4} = 2

60 = x^{2} - 4

x^{2} = 64

x = 8

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Question Text	A motor-boat takes $2$ hours more to cover a distance of $30 km$ upstream than it takes to cover the same distance downstream.If the speed of the stream is $2 km / h r$ . Find the speed of boat is still water.
Answer Type	Text solution:1
Upvotes	150