Question

Лодка проходит некоторое расстояние по течению реки за 6 ч, а обратно за 10 ч. Найдите скорость течения реки, если скорость лодки в стоячей воде равна 16км/ч.

Answer 1

Х-скорость течения
6(16+х)=10(16-х)
96+6х=160-10х
6х+10х=160-96
16х=64
х=64:16
х=4км/ч-скорость течения

Answer 2

Problem Analysis

We are given that a boat travels a certain distance downstream in 6 hours and the same distance upstream in 10 hours. We need to find the speed of the river's current, given that the speed of the boat in still water is 16 km/h.

Solution

Let's assume the speed of the river's current is x km/h.

When the boat is traveling downstream, the effective speed of the boat is the sum of its speed in still water and the speed of the current. Therefore, the effective speed is (16 + x) km/h.

When the boat is traveling upstream, the effective speed of the boat is the difference between its speed in still water and the speed of the current. Therefore, the effective speed is (16 - x) km/h.

We are given that the boat takes 6 hours to travel a certain distance downstream and 10 hours to travel the same distance upstream.

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

Equation 1: distance = (16 + x) × 6 (for downstream travel) Equation 2: distance = (16 - x) × 10 (for upstream travel)

We can solve these equations to find the value of x.

Calculation

Let's solve the equations to find the value of x:

Equation 1: distance = (16 + x) × 6 Equation 2: distance = (16 - x) × 10

Since the distance traveled is the same in both cases, we can equate the two equations:

(16 + x) × 6 = (16 - x) × 10

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