Question

За 3ч. по реке плот проплыл 16,5км скорость катера по озеру 18,6 км/ч.Найти расстояние кторое проплывёт катер против течения за 5ч

Answer 1

16,5 км : 3ч = 5,5км - скорость плота (скорость течения реки)
18,6 км/ч - 5,5км/ч = 13,1 км/ч - скорость катера против течения
13,1 км/ч · 5ч = 65,5 км - проплывёт катер против течения за 5 часов

Answer 2

Problem Analysis

We are given that a raft traveled 16.5 km downstream in 3 hours, and the speed of a boat on the lake is 18.6 km/h. We need to find the distance the boat will travel upstream in 5 hours.

Calculation

To find the distance the boat will travel upstream, we need to calculate the speed of the boat relative to the water. We can use the formula:

Speed of boat relative to water = Speed of boat on lake - Speed of current

Since the speed of the boat on the lake is given as 18.6 km/h, we need to find the speed of the current. We can calculate the speed of the current by dividing the distance traveled downstream by the time taken:

Speed of current = Distance traveled downstream / Time taken

Substituting the given values, we have:

Speed of current = 16.5 km / 3 hours

Now we can calculate the speed of the boat relative to the water:

Speed of boat relative to water = 18.6 km/h - Speed of current

Finally, we can find the distance the boat will travel upstream by multiplying the speed of the boat relative to the water by the time taken:

Distance traveled upstream = Speed of boat relative to water * Time taken

Substituting the given values, we have:

Distance traveled upstream = (18.6 km/h - Speed of current) * 5 hours

Let's calculate the values step by step.

Calculation Steps

1. Calculate the speed of the current: - Speed of current = 16.5 km / 3 hours - Speed of current = 5.5 km/h

2. Calculate the speed of the boat relative to the water: - Speed of boat relative to water = 18.6 km/h - 5.5 km/h - Speed of boat relative to water = 13.1 km/h

3. Calculate the distance traveled upstream: - Distance traveled upstream = (13.1 km/h) * 5 hours - Distance traveled upstream = 65.5 km

Therefore, the boat will travel a distance of 65.5 km upstream in 5 hours.

Answer

The boat will travel a distance of 65.5 km upstream in 5 hours.