Question

Катер шёл 3 ч по течению реки и 3 ч против течения реки. Какой путь прошёл катер за эти 6 ч, если собственная скорость катера 18 км/ч, а скорость течения реки 1 3/4 км/ч ? помогите пожалуйста!!!

Answer 1

18+1,75 = 19,75 км/ч  скорость по течению
19,75*3= 59,25 км
18-1,75= 16,25 км/ч скорость против течения
16,25*3=48,75 км
48,75+59,25=108 км прошёл катер.

Answer 2

18-1 3/4= 16 1/4 (км/ч)- скорость против течения реки
18+ 1 3/4= 19 3/4 (км/ч)- скорость по течению реки
3*16 1/4+ 3*19 3/4= 3* (16 1/4+19 3/4)=3*36=108 км
Ответ: катет прошел всего 108 км

Answer 3

Calculating the Distance Traveled by the Boat

To calculate the distance traveled by the boat, we can use the formula: distance = speed × time

Given: - Boat's own speed = 18 km/h - River's current speed = 1 3/4 km/h - Time traveled downstream = 3 hours - Time traveled upstream = 3 hours

First, let's calculate the speed of the boat relative to the water when traveling downstream and upstream.

Calculating Speed Downstream and Upstream

The speed of the boat relative to the water when traveling downstream is calculated as: speed downstream = boat's own speed + river's current speed

Substituting the given values: speed downstream = 18 km/h + 1 3/4 km/h

The speed of the boat relative to the water when traveling upstream is calculated as: speed upstream = boat's own speed - river's current speed

Substituting the given values: speed upstream = 18 km/h - 1 3/4 km/h

Calculating Distance Traveled

Now, we can calculate the distance traveled by the boat when traveling downstream and upstream using the obtained speeds and the given times.

The distance traveled when traveling downstream is: distance downstream = speed downstream × time downstream

Substituting the calculated speed downstream and the given time downstream: distance downstream = (18 km/h + 1 3/4 km/h) × 3 h

The distance traveled when traveling upstream is: distance upstream = speed upstream × time upstream

Substituting the calculated speed upstream and the given time upstream: distance upstream = (18 km/h - 1 3/4 km/h) × 3 h

Now, we can calculate the total distance traveled by the boat in 6 hours by adding the distances traveled downstream and upstream.

Calculating Total Distance Traveled

The total distance traveled is: total distance = distance downstream + distance upstream

Substituting the calculated distances: total distance = (18 km/h + 1 3/4 km/h) × 3 h + (18 km/h - 1 3/4 km/h) × 3 h

Let's calculate the total distance traveled by the boat.