Question

Турист плыл на теплоходе сначала 1,2 ч по озеру, а затем 3,6 ч по реке, которая впадает в это озеро. Собственная скорасть теплохода 22,4 км/ч, а скорость течения реки 1,7 км/ч. Найти длину всего пути на теплоходе.

Answer 1

Расстояние-? Км
Время-12 и 3,6 ч
Скорость-22,4 и 1,7 км/ч
Что бы узнать расстояние надо скорость умножить на время,формула-S=V×t

1)12+3,6=15,6 ч -всего
2)22,4+1,7=24,1 км/ч
3)15,6×24,1=375,96 км - S (расстояние которое прошел теплоход)

Answer 2

Problem Analysis

A tourist travels on a steamboat for 1.2 hours on a lake and then 3.6 hours on a river that flows into the lake. The steamboat's speed is 22.4 km/h, and the river's current speed is 1.7 km/h. We need to find the total distance traveled by the steamboat.

Solution

To find the total distance traveled by the steamboat, we need to calculate the distance traveled on the lake and the distance traveled on the river separately, and then add them together.

# Distance Traveled on the Lake

The distance traveled on the lake can be calculated by multiplying the speed of the steamboat by the time spent on the lake: Distance on lake = Speed of steamboat × Time on lake

# Distance Traveled on the River

The distance traveled on the river can be calculated by multiplying the effective speed of the steamboat (which is the difference between the speed of the steamboat and the speed of the river's current) by the time spent on the river: Distance on river = Effective speed of steamboat × Time on river

To calculate the effective speed of the steamboat, we subtract the speed of the river's current from the speed of the steamboat: Effective speed of steamboat = Speed of steamboat - Speed of river's current

# Total Distance Traveled

Finally, we can find the total distance traveled by adding the distance traveled on the lake and the distance traveled on the river: Total distance = Distance on lake + Distance on river

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

Calculation

Given: - Time on lake = 1.2 hours - Time on river = 3.6 hours - Speed of steamboat = 22.4 km/h - Speed of river's current = 1.7 km/h

# Distance Traveled on the Lake

Distance on lake = Speed of steamboat × Time on lake Distance on lake = 22.4 km/h × 1.2 hours

# Distance Traveled on the River

Effective speed of steamboat = Speed of steamboat - Speed of river's current Effective speed of steamboat = 22.4 km/h - 1.7 km/h

Distance on river = Effective speed of steamboat × Time on river Distance on river = (22.4 km/h - 1.7 km/h) × 3.6 hours

# Total Distance Traveled

Total distance = Distance on lake + Distance on river

Now, let's calculate the values.

Calculation Results

- Distance on lake = 26.88 km- Effective speed of steamboat = 20.7 km/h - Distance on river = 74.52 km- Total distance = 26.88 km + 74.52 km

Answer

The total distance traveled by the steamboat is 101.4 km.

References

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