Question

две моторные лодки отошли от пристани в одном направлении. первая лодка шла со скоростью 18 км в час. вторая лодка отошла от пристани на два часа позже и шла со скоростью 24 км в час. Через сколько часов вторая лодка догонит первую?

Answer 1

1)сколько км прошла первая лодка до выхода второй?

18*2=36 км

2)разница скоростей

24-18=6 км/час

3)через сколько часов вторая догонит первую?

36:6=6 час

Answer 2

Problem Analysis

We are given two motorboats that depart from a dock in the same direction. The first boat travels at a speed of 18 km/h, while the second boat departs two hours later and travels at a speed of 24 km/h. We need to determine how many hours it will take for the second boat to catch up to the first boat.

Calculation

To solve this problem, we can use the concept of relative speed. The relative speed of the second boat with respect to the first boat is the difference in their speeds, which is 24 km/h - 18 km/h = 6 km/h.

Since the second boat departs two hours later, the first boat has already traveled a distance of 18 km/h * 2 hours = 36 km when the second boat starts.

To catch up to the first boat, the second boat needs to cover this initial distance of 36 km. At a relative speed of 6 km/h, the time it takes to cover this distance is 36 km / 6 km/h = 6 hours.

Therefore, the second boat will catch up to the first boat in 6 hours.

Answer

The second boat will catch up to the first boat in 6 hours.