Question

От одной и той же пристани в одном направлении вышел теплоход со скоростью 32км/час а через 45 минут - катер со скоростью 50 км/час. определите на каком расстояние от пристани катер догнал теплоход

Answer 1

45 минут = 3/4 часа
за это время теплоход пройдёт расстояние 32*3/4=24 км 
скорость сближения равна 50 - 32 =18 км/ч
катер догонит теплоход через 24/16=4/3 часа.
расстояние от пристани  равно 50*4/3=200/3км

Answer 2

Problem Analysis

We are given that a boat and a speedboat leave from the same dock in the same direction. The boat has a speed of 32 km/h, and after 45 minutes, the speedboat with a speed of 50 km/h starts. We need to determine the distance from the dock at which the speedboat catches up to the boat.

Solution

To solve this problem, we can use the formula: distance = speed × time.

Let's calculate the distance covered by the boat in 45 minutes (0.75 hours): - Boat speed = 32 km/h - Time = 0.75 hours

Distance covered by the boat = 32 km/h × 0.75 hours = 24 km.

Now, let's calculate the distance covered by the speedboat in the same time: - Speedboat speed = 50 km/h - Time = 0.75 hours

Distance covered by the speedboat = 50 km/h × 0.75 hours = 37.5 km.

Therefore, the speedboat catches up to the boat at a distance of 37.5 km from the dock.

Answer

The speedboat catches up to the boat at a distance of 37.5 km from the dock.