Question

The speed of a river current is 3 km/h. A boat takes the same time to travel 12 km upstream as it does to travel 14 km downstream. what is the speed upstream and downstream​

Answer 1

Answer:

The boat takes the same time to travel 15km upstream. Let the time taken to cover this distance be t hours . The boat takes the same time to travel 18km downstream. => x = 33 kmph .

Answer 2

Step-by-step explanation:

In the above Question, the following information is given -.

The speed of a river current is 3 km/h.

A boat takes the same time to travel 15km upstream as it does to travel 18 km downstream.

To find -

Find the speed of the boat in still water.

Solution -

Let us assume that the required speed of the boat in still water is x kmph..

Now,

The speed of a river current is 3 km/h.

So,

When this boat travels upstream -

Net Speed upstream -

=> (x-3) kmph

Now,

Speed = [ Distance / Time]

The boat takes the same time to travel 15km

upstream.

Let the time taken to cover this distance be t hours.

(x - 3) = 15 / t .{1}

The boat takes the same time to travel 18km

downstream.

(x + 3) = 18 / t ... [2]

Now,

Divide equation 1 by equation 2

=> [X-3][x+3] = [5/6]

=> 5 (x+3) = 6(x-3)

=> 5x + 15 = 6x-18

=> x = 15 + 18

=> x = 33 kmph.

Hence, the required speed of the boat in still water is 33 kmph.

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