Question

Моторная лодка 2 ч плыла по течению реки и 3 ч против течения. Собственная скорость моторной лодки 19,5 км/ч, скорость течения реки2,8 км/ч. Какое растояние проплыла моторная лодка?

Answer 1

19,5+2,8=22,3
22,3×2=44,6
19,5-2,8=16,7
16,7×3=50,1
50,1+44,6=94,7

Answer 2

Calculation of Distance Traveled by the Motorboat

To calculate the distance traveled by the motorboat, we need to consider the time it spent traveling with the current and against the current, as well as the speed of the boat and the speed of the current.

Given information: - Time spent traveling with the current: 2 hours - Time spent traveling against the current: 3 hours - Speed of the motorboat: 19.5 km/h - Speed of the current: 2.8 km/h

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

Distance = Speed × Time

For the time spent traveling with the current, the speed of the boat relative to the ground is the sum of the boat's speed and the speed of the current:

Speed with current = Boat speed + Current speed

Substituting the given values:

Speed with current = 19.5 km/h + 2.8 km/h = 22.3 km/h

Using the formula for distance:

Distance with current = Speed with current × Time with current

Distance with current = 22.3 km/h × 2 hours = 44.6 km

To calculate the distance traveled against the current, we subtract the speed of the current from the speed of the boat:

Speed against current = Boat speed - Current speed

Substituting the given values:

Speed against current = 19.5 km/h - 2.8 km/h = 16.7 km/h

Using the formula for distance:

Distance against current = Speed against current × Time against current

Distance against current = 16.7 km/h × 3 hours = 50.1 km

Finally, to calculate the total distance traveled by the motorboat, we add the distances traveled with and against the current:

Total distance = Distance with current + Distance against current

Total distance = 44.6 km + 50.1 km = 94.7 km

Therefore, the motorboat traveled a total distance of 94.7 kilometers.