The boat sailed with the stream for 1.8 hours, and against the stream for 0.9 hours.

| September 1, 2021 | education

The boat sailed with the stream for 1.8 hours, and against the stream for 0.9 hours. What distance did the boat go if its speed is 28 km / h and the current speed is 1.6 km / h?

Downstream – 1.8 hours;

Against the stream – 0.9 h;

Boat speed (Vsob.) – 28 km / h;

Current speed (Vcurrent) – 1.6 km / h

Distance – ? km.

First, let’s determine the speed of the boat downstream: V downstream. = Vsob. + Vcur.

1) 28 + 1.6 = 29.6 (km / h);

Next, we calculate the speed of the boat against the current: Vpr flow. = Vsob. – V leak.

2) 28 – 1.6 = 26.4 (km / h);

Knowing that S = V * t, the next action is to find the distance traveled by the boat downstream:

3) 29.6 * 1.8 = 53.28 (km);

And the distance traveled by the boat against the current:

4) 26.4 * 0.9 = 23.76 (km);

Now, we can calculate the entire distance traveled by the boat:

5) 53.28 + 23.76 = 77.04 (km).

Answer: the boat covered a distance of 77.04 km.



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