Question

Из двух пунктов реки одновременно навстречу друг другу вышли две моторные лодки. Через 1,2 ч они встретились. Собственная скорость лодки, которая шла по течению реки, равна 18 км/ч, а лодки, которая шла против течения реки, 16 км/ч. До встречи одна лодка прошла на 9,6 км больше другой. Найдите скорость течения реки.

Answer 1

1.2 ((18 + х) - (16-х))=9.6
2х-2=8
х=3км/ч

Answer 2

Problem Analysis

Two motorboats are traveling towards each other from opposite points on a river. Boat A, traveling with the current, has a speed of 18 km/h, while Boat B, traveling against the current, has a speed of 16 km/h. The boats meet after 1.2 hours, and Boat A has traveled 9.6 km farther than Boat B before the meeting. We need to find the speed of the river's current.

Solution

Let's denote the speed of the river's current as x km/h.

The distance traveled by Boat A is the sum of the distance traveled with the current and the additional distance due to the current, which is 9.6 km. The distance traveled by Boat B is the difference between the distance traveled with the current and the additional distance due to the current.

Using the formula distance = speed * time, we can set up the following equations:

1. For Boat A: (18 + x) * 1.2 = 9.6 + (18 - x) * 1.2 2. For Boat B: (16 - x) * 1.2

Let's solve these equations to find the speed of the river's current.

Calculation

1. For Boat A: - (18 + x) * 1.2 = 9.6 + (18 - x) * 1.2 - 21.6 + 1.2x = 9.6 + 21.6 - 1.2x - 1.2x + 1.2x = 9.6 - 2.4x = 9.6 - x = 4

2. For Boat B: - (16 - x) * 1.2 = (16 - 4) * 1.2 = 14.4

Answer

The speed of the river's current is 4 km/h.