The boat sailed from pier A to pier B in 6 hours, and from pier B to pier A in 7 hours.

univerkov | August 10, 2021 | education

The boat sailed from pier A to pier B in 6 hours, and from pier B to pier A in 7 hours. the speed of the current is 2 km / h. find your own speed of the boat.

1. Let X be the boat’s own speed.

It is known that the speed of the river is 2 km / h.

Then the speed of the boat downstream is equal to (X + 2) km / h.

Speed of the boat against the current (X – 2) km / h.

2. The problem says that the boat sailed downstream in 6 hours.

Then the distance between points is 6 * (X + 2) km.

The boat covered the way upstream in 7 hours.

The same distance is 7 * (X – 2) km.

3. Received the equation.

6 * (X + 2) = 7 * (X – 2).

6 * X + 12 = 7 * X – 14.

X = 26 km / h.

Answer: The speed of the boat is 26 km / h.

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