The boat sailed with the flow for 1 hour and 36 minutes, and against the flow for 48 minutes at a speed

| March 28, 2021 | education

The boat sailed with the flow for 1 hour and 36 minutes, and against the flow for 48 minutes at a speed of 260 m / min. Find the speed of the river if the whole path is 40 km 320m.

To begin with, we find out what distance the boat sailed against the current, if, according to the condition of the problem, it is known that its speed was 260 m / min:

S = V * T, where V is speed, T is time.

S = 260 * 48 = 12480 meters.

Now we will find what distance the boat sailed downstream, if it is known that the entire path is 40 km 320 m:

40 km 320 m = 40 320 m

40320 – 12480 = 27840 m.

Next, we determine with what speed the boat was moving downstream, if it is known that it sailed for 1 hour and 36 minutes:

1 hour 36 minutes = 96 minutes.

S = V * T, where V is speed, T is time.

V = S / T = 27840/96 = 290 m / min.

It remains to find what the speed of the river is equal to:

(290 – 260) / 2 = 15 m / min.

Answer: the speed of the river is 15 m / min.



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