Question

От пристани одновременно в противоположных направлениях отошли два теплохода. когда один из них прошел 180 км со скоростью 30 км/ч, расстояние между теплоходами стало равным348 км с какой скоростью шёл другой теплоход?

Answer 1

1) 180/30= 6 часов время за которое первый теплоход прошел 180км
2) 348-180=168 км прошел за это же время второй теплоход
3) 168/6= 28 км/ч - скорость второго теплохода

Answer 2

Problem Analysis

To solve this problem, we can use the concept of relative speed. Let's denote the speed of the first boat as \( v_1 \) and the speed of the second boat as \( v_2 \). We are given that the first boat traveled 180 km with a speed of 30 km/h, and the distance between the boats became 348 km.

Calculating the Speed of the Second Boat

We can use the formula for relative speed, which is given by: \[ \text{Relative speed} = \text{Speed of boat 1} + \text{Speed of boat 2} \]

Given that the first boat traveled 180 km with a speed of 30 km/h, we can calculate the time it took for the first boat to travel this distance: \[ \text{Time taken by boat 1} = \frac{\text{Distance}}{\text{Speed}} = \frac{180 \text{ km}}{30 \text{ km/h}} = 6 \text{ hours} \]

Now, we can use the time taken by the first boat to find the distance traveled by the second boat during this time. Since the distance between the boats became 348 km, the second boat traveled \( 348 - 180 = 168 \) km in 6 hours.

Finally, we can calculate the speed of the second boat using the distance it traveled and the time taken: \[ \text{Speed of boat 2} = \frac{\text{Distance}}{\text{Time}} = \frac{168 \text{ km}}{6 \text{ hours}} = 28 \text{ km/h} \]

Answer

So, the speed of the second boat was 28 km/h.