Question

Собственная скорость теплохода 24,5км скорость течения реки 1,3км/ч. Вначале теплоход плыл по озеру в течение 0,4ч затем по реке против течения 3,5чю.Какой путь покрыл теплоход за это время?

Answer 1

24,5*0,4=9,8 км - проплыл теплоход по озеру
24,5-1,3=23,2 км/ч - скорость теплохода против течения
23,2*3,5=81,2 км - проплыл теплоход по реке
9,8+81,2=91 км проплыл всего теплоход

Answer 2

Calculating the Distance Covered by the Boat

To calculate the distance covered by the boat, we can use the formula:

Distance = Speed × Time

First, let's calculate the distance covered while the boat was on the lake and then the distance covered while it was on the river.

Distance Covered on the Lake

The boat's speed on the lake is 24.5 km/h, and it traveled for 0.4 hours.

Using the formula: Distance on lake = Speed on lake × Time on lake

Distance on lake = 24.5 km/h × 0.4 h

Distance on lake = 9.8 km

Distance Covered on the River

When the boat is on the river against the current, the effective speed is the difference between the boat's speed and the speed of the current.

The boat's speed relative to the river's current is: Boat's speed on the river = Boat's speed - River's current speed

Boat's speed on the river = 24.5 km/h - 1.3 km/h

Boat's speed on the river = 23.2 km/h

The boat traveled at this speed for 3.5 hours.

Using the formula: Distance on river = Speed on river × Time on river

Distance on river = 23.2 km/h × 3.5 h

Distance on river = 81.2 km

Total Distance Covered

To find the total distance covered by the boat, we add the distances covered on the lake and the river:

Total distance = Distance on lake + Distance on river

Total distance = 9.8 km + 81.2 km

Total distance = 91 km

Therefore, the boat covered a total distance of 91 kilometers during the given time.