The speed of the ship along the river is 45.2 km / h, and against the river – 36.2 km / h.

| January 30, 2021 | education

The speed of the ship along the river is 45.2 km / h, and against the river – 36.2 km / h. Find the speed of the river and your own speed of the ship.

The speed of the ship along the river is equal to the sum of its own speed and the speed of the river. When moving against the current, the speed of the ship is equal to the difference between these speeds.

Let’s denote the speed of the motor ship by the letter x, and the speed of the current by the letter y, then we can write the problem conditions in the form of a system of two equations:

x + y = 45.2,

x – y = 36.2.

From the first equation we obtain that

x = 45.2 – y.

Substitute this x value in the second equation:

45.2 – y – y = 36.2,

2 * y = 45.2 – 36.2,

y = 9: 2,

y = 4.5 (km / h) – river flow speed.

x = 45.2 – 4.5 = 40.7 (km / h) – own speed of the ship.



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