The boat sails the distance between two villages on the banks of the river in 3 hours against the current and in 2 hours

| March 15, 2021 | education

The boat sails the distance between two villages on the banks of the river in 3 hours against the current and in 2 hours and 20 minutes along the river. The speed of the river is 3 km / h. What is the boat’s own speed?

Let the boat’s own speed be x km / h, then the speed of the boat along the river is (x + 3) km / h, and the speed of the boat against the river is (x – 3) km / h. Let’s convert the time into hours 2 h 20 min. = 2 20/60 h = 2 1/3 h. It is known that the path traveled by the boat along the river 2 1/3 * (x + 3) km is equal to the path traveled by the boat against the river 3 (x – 3). Let’s make an equation and solve it.

2 1/3 * (x + 3) = 3 (x – 3);

2 1/3 * x + 7 = 3x – 9;

2 1/3 * x – 3x = – 9 – 7;

– 2/3 * x = – 16;

2/3 * x = 16;

x = 16: 2/3;

x = 16 * 3/2;

x = 24 (km / h).

Answer. 24 km / h.



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