Question

От пристани отошёл катер скорость которого 24 км/ч через 3 ч вслед за ним вышел другой катер скорость которого 38 км/ч на каком расстоянии от пристани второй катер догонит первый катер

Answer 1

24*3=72км - прошел первый катер за 3 часа

38-24=14 км/ч - скорость опережения

72/14=5 1/7 часа - через столько второй катер догонит первого

(3 + 5 1/7) * 24 = 195 3/7 км - расстояние от пристани

Ответ. 195 3/7 км

Answer 2

Problem Analysis

We are given two boats, one with a speed of 24 km/h and the other with a speed of 38 km/h. The second boat starts 3 hours after the first boat and tries to catch up to it. We need to find the distance from the dock where the second boat catches up to the first boat.

Solution

Let's assume that the distance from the dock where the second boat catches up to the first boat is D kilometers.

To find the distance, we can set up an equation based on the relative speeds of the two boats. Since the second boat is trying to catch up to the first boat, their relative speed will be the difference between their speeds.

The relative speed of the second boat with respect to the first boat is 38 km/h - 24 km/h = 14 km/h.

We know that the second boat starts 3 hours after the first boat. So, the time taken by the second boat to catch up to the first boat will be the same as the time taken by the first boat to travel the distance D.

Using the formula distance = speed × time, we can write the equation as:

D = 14 km/h × 3 hours

Simplifying the equation, we get:

D = 42 km

Therefore, the second boat will catch up to the first boat at a distance of 42 kilometers from the dock.

Answer

The second boat will catch up to the first boat at a distance of 42 kilometers from the dock.