The boat sailed 158 km, swam 1.5 hours downstream and 2.5 hours against the current. The speed of the river is 2 km / h

The boat sailed 158 km, swam 1.5 hours downstream and 2.5 hours against the current. The speed of the river is 2 km / h. Find your own speed of the boat and the distance that it sailed along the river.

Let’s denote the boat’s own speed through x.
Speed of the boat along the river: х + 2 km / h.
Speed of the boat against the stream of the river: х – 2 km / h.
Let’s make the equation:
1.5 * (x + 2) + 2.5 * (x – 2) = 158;
1.5 * x + 3 + 2.5 * x – 5 = 158;
4 * x = 160;
x = 160/4 = 40km / h.
Let’s find the distance that the boat sailed along the river:
1.5 * (x + 2) = 1.5 * (40 + 2) = 1.5 * 42 = 63km.



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