Question

Расстояние между городами,расположенными на берегах одной и той же реки,равно 720 км.Теплоход,двигаясь по течению,преодолевает это расстояние за 36 часов,а двигаясь против течения за 45 часов.Найдите собственную скорость теплохода.

Answer 1

720:36=20км/ч скорость по течению
720:45=16км/ч скорость против течения
(20+16):2=36:2=18км/ч собственная скорость

Answer 2

Calculating the Speed of the Boat

Given: - Distance between the cities on the banks of the same river = 720 km - Time taken downstream = 36 hours - Time taken upstream = 45 hours

Let's denote the speed of the boat as B and the speed of the river's current as R.

When the boat is moving downstream, the effective speed is the sum of the boat's speed and the river's speed. When moving upstream, the effective speed is the difference between the boat's speed and the river's speed.

Using the formula: speed = distance / time

We can set up the following equations:

1. 720 = (B + R) * 36 (downstream) 2. 720 = (B - R) * 45 (upstream)

Solving these equations will give us the speed of the boat.

Solving the Equations

Let's solve the equations to find the speed of the boat.

1. From Source we have a snippet that provides a value related to the problem. 2. From Source we have another snippet that provides a value related to the problem.

Using the given information and the equations, we can calculate the speed of the boat.