Question

пловец плывёт по озеру со скоростью 1,8 км/ч.вслед за ним идёт лодка со скоростью 4,5 км/ч.сейчас между ними 0,54 км,через сколько времени лодка догонит пловца?

Answer 1

4.5-1.8=2.7 - скорость сближения

0.54:2.7=0.2 часа <---- ответ

Answer 2

Calculating the Time for the Boat to Catch Up to the Swimmer

To calculate the time it takes for the boat to catch up to the swimmer, we can use the formula: \[ \text{time} = \frac{\text{distance}}{\text{relative speed}} \]

Given: - Speed of the swimmer, \( v_s = 1.8 \, \text{km/h} \) - Speed of the boat, \( v_b = 4.5 \, \text{km/h} \) - Distance between them, \( d = 0.54 \, \text{km} \)

First, we need to find the relative speed of the boat with respect to the swimmer.

The relative speed, \( v_r \), is given by: \[ v_r = v_b - v_s \]

Let's calculate the relative speed: \[ v_r = 4.5 \, \text{km/h} - 1.8 \, \text{km/h} = 2.7 \, \text{km/h} \]

Now, we can use the formula to find the time it takes for the boat to catch up to the swimmer: \[ \text{time} = \frac{0.54 \, \text{km}}{2.7 \, \text{km/h}} = 0.2 \, \text{hours} \]

So, the boat will catch up to the swimmer in 0.2 hours.