Question

Теплоход шёл 5 ч по течению реки и 2 ч против течения. Какой путь прошёл теплоход за это время, если собственная скорость теплохода 19,4 км/ч, а скорость течения реки 1,6 км/ч

Answer 1

1) 19,4 + 1,6 = 21 км/ч - скорость теплохода, плывущего по течению реки
2) 19,4 - 1,6 = 17,8 км/ч - скорость теплохода, плывущего против течения реки.
3) 21 * 5 + 17,8 * 2 = 140,6 км - общий путь, который прошел теплоход.

Answer 2

Calculation of the Distance Traveled by the Boat

To calculate the distance traveled by the boat, we need to consider the time it traveled with the current and against the current.

Given: - Time traveled with the current: 5 hours - Time traveled against the current: 2 hours - Boat's own speed: 19.4 km/h - Speed of the river current: 1.6 km/h

To calculate the distance traveled with the current, we can use the formula:

Distance = Speed x Time

For the time traveled with the current, the effective speed of the boat will be the sum of its own speed and the speed of the current:

Effective Speed = Boat's Speed + Current's Speed

Substituting the given values:

Effective Speed = 19.4 km/h + 1.6 km/h = 21 km/h

Now, we can calculate the distance traveled with the current:

Distance with current = Effective Speed x Time with current

Distance with current = 21 km/h x 5 hours = 105 km To calculate the distance traveled against the current, we need to subtract the speed of the current from the boat's own speed:

Effective Speed = Boat's Speed - Current's Speed

Substituting the given values:

Effective Speed = 19.4 km/h - 1.6 km/h = 17.8 km/h

Now, we can calculate the distance traveled against the current:

Distance against current = Effective Speed x Time against current

Distance against current = 17.8 km/h x 2 hours = 35.6 km Finally, to find the total distance traveled by the boat, we can add the distances traveled with and against the current:

Total Distance = Distance with current + Distance against current

Total Distance = 105 km + 35.6 km = 140.6 km

Therefore, the boat traveled a total distance of 140.6 km during the given time period.