Question

Собственная скорость катера равна 15,3 км ч, скорость течения реки одна целая 1/2 км ч. Найдите скорость катера, плывущего по течению и против течения реки. На сколько километров длина пути, пройденного катера по течению за 3 часа, больше длины пути, пройденного катера против течения реки за это же время

Answer 1

1) 15,3+1,5=16,8 км/час   ( скорость катера по течению реки.)
2) 15,3-1,5=13,8 км/час  (скорость катера против течения реки
3)16,8*3=50,4 км  ( путь, пройденный катером по течению за три часа)
4)13,8*3=41,4 км ( путь , пройденный катером против течения за три часа)
5)50,4-41,4= 9км   
Ответ: на 9 км.

Answer 2

Problem Analysis

We are given the speed of a boat and the speed of the river current. We need to find the speed of the boat when it is moving with the current and against the current. We also need to determine the difference in the distance traveled by the boat in 3 hours when moving with the current and against the current.

Calculation

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

1. Speed of the boat moving with the current: - The speed of the boat moving with the current is the sum of the boat's speed and the speed of the current: B + C. - Substituting the given values, we have: B + C = 15.3 + 1/2.

2. Speed of the boat moving against the current: - The speed of the boat moving against the current is the difference between the boat's speed and the speed of the current: B - C. - Substituting the given values, we have: B - C = 15.3 - 1/2.

3. Difference in distance traveled in 3 hours: - To find the difference in distance traveled by the boat in 3 hours when moving with the current and against the current, we need to calculate the distance traveled in each case. - The distance traveled is equal to the speed multiplied by the time: distance = speed * time. - For the boat moving with the current, the distance is: (B + C) * 3. - For the boat moving against the current, the distance is: (B - C) * 3. - The difference in distance is: (B + C) * 3 - (B - C) * 3.

Let's calculate the values:

1. Speed of the boat moving with the current: - B + C = 15.3 + 1/2 = 15.8 km/h.

2. Speed of the boat moving against the current: - B - C = 15.3 - 1/2 = 14.8 km/h.

3. Difference in distance traveled in 3 hours: - (B + C) * 3 - (B - C) * 3 = 15.8 * 3 - 14.8 * 3 = 3 km.

Therefore, the speed of the boat when moving with the current is 15.8 km/h, the speed of the boat when moving against the current is 14.8 km/h, and the difference in distance traveled in 3 hours is 3 km.

Answer

The speed of the boat when moving with the current is 15.8 km/h, the speed of the boat when moving against the current is 14.8 km/h, and the difference in distance traveled by the boat in 3 hours when moving with the current and against the current is 3 km.