Question

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

Answer 1

22.4*1.2=26.88км по озеру
(22.4-1.7)*3.6=74.52км по реке
26.88+74.52=101.4км

Answer 2

Calculation of the Total Distance Traveled by the Tourist

To calculate the total distance traveled by the tourist on the steamboat, we need to consider the distance traveled on the lake and the distance traveled on the river.

The speed of the steamboat is given as 22.4 km/h, and the speed of the river current is given as 1.7 km/h.

Let's calculate the distance traveled on the lake first.

The time spent on the lake is given as 1.2 hours, and the speed of the steamboat is 22.4 km/h. We can use the formula:

Distance = Speed × Time

Substituting the given values, we get:

Distance on the lake = 22.4 km/h × 1.2 hours

Now, let's calculate the distance traveled on the river.

The time spent on the river is given as 3.6 hours, and the speed of the steamboat is 22.4 km/h. However, we need to take into account the speed of the river current, which is 1.7 km/h.

To calculate the effective speed of the steamboat on the river, we subtract the speed of the river current from the speed of the steamboat:

Effective speed on the river = Speed of steamboat - Speed of river current

Substituting the given values, we get:

Effective speed on the river = 22.4 km/h - 1.7 km/h

Now, we can calculate the distance traveled on the river using the effective speed:

Distance on the river = Effective speed on the river × Time

Substituting the given values, we get:

Distance on the river = (22.4 km/h - 1.7 km/h) × 3.6 hours

Finally, we can calculate the total distance traveled by adding the distance on the lake and the distance on the river:

Total distance = Distance on the lake + Distance on the river

Let's calculate the values:

Distance on the lake = 22.4 km/h × 1.2 hours = 26.88 km.

Effective speed on the river = 22.4 km/h - 1.7 km/h = 20.7 km/h.

Distance on the river = 20.7 km/h × 3.6 hours = 74.52 km.

Total distance = 26.88 km + 74.52 km = 101.4 km.

Therefore, the total distance traveled by the tourist on the steamboat is 101.4 km.