Question

Теплоход шел 4 часа по течению и 3 часа против течения реки. Какое расстояние прошел теплоход за это время, если его собственная скорость 32,4 км/ч, а скорость по течению 34,2 км/ч

Answer 1

1) 34,2-32,4=1.8 - скорость течения реки

2) 4*34,2=136,8 (км) - по течению

3) 3*(32,4-1,8)=91,8 (км) - против течения

4) 136,8 + 91,8 = 228,6 (км) - всего

Answer 2

Problem Analysis

We are given the following information: - The boat traveled for 4 hours with the current. - The boat traveled for 3 hours against the current. - The boat's own speed is 32.4 km/h. - The speed of the current is 34.2 km/h.

We need to calculate the distance traveled by the boat during this time.

Solution

To solve this problem, we can use the formula:

Distance = Speed x Time

Let's calculate the distance traveled by the boat with the current and against the current separately, and then add them together to get the total distance.

1. Distance traveled with the current: - Speed of the boat with the current = Boat's own speed + Speed of the current - Time = 4 hours - Distance = Speed x Time

2. Distance traveled against the current: - Speed of the boat against the current = Boat's own speed - Speed of the current - Time = 3 hours - Distance = Speed x Time

3. Total distance traveled: - Total distance = Distance traveled with the current + Distance traveled against the current

Let's calculate the distances using the given values.

Calculation

1. Distance traveled with the current: - Speed of the boat with the current = 32.4 km/h + 34.2 km/h = 66.6 km/h - Time = 4 hours - Distance = 66.6 km/h x 4 hours = 266.4 km

2. Distance traveled against the current: - Speed of the boat against the current = 32.4 km/h - 34.2 km/h = -1.8 km/h - Time = 3 hours - Distance = -1.8 km/h x 3 hours = -5.4 km

3. Total distance traveled: - Total distance = 266.4 km + (-5.4 km) = 261 km

Answer

The boat traveled a distance of 261 km during the given time.

Explanation

The boat traveled with the current for 4 hours, covering a distance of 266.4 km. Then, it traveled against the current for 3 hours, covering a distance of -5.4 km. The negative sign indicates that the boat moved backward against the current. Adding the distances together, we get a total distance of 261 km.

Please note that the negative distance traveled against the current is a result of the boat's speed being slower than the speed of the current.