Question

Турист плыл на теплоходе сначала 1,2 часов по озеру,а затем 3,6 часов по реке,которая впадает в это озеро. Собственная скорость теплохода 22,4км/ч,а скорость течения реки1,7км/ч.Найдите длину всего пути туриста на теплоходе. P.S.:помогите!!!!!!!

Answer 1

Calculation of the Total Distance Traveled by the Tourist

To find the total distance traveled by the tourist on 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.

Let's start by calculating the distance traveled on the lake.

The time spent traveling 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 traveling on the river is given as 3.6 hours, and the speed of the steamboat is still 22.4 km/h. However, we need to take into account the speed of the river current, which is 1.7 km/h. The effective speed of the steamboat on the river will be the difference between its speed and the speed of the current. So, the effective speed on the river is:

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

Substituting the given values, we get:

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

Now, we can use the formula for distance again:

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 find the total distance traveled by adding the distances on the lake and 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 approximately 101.4 kilometers.