Question

Расстояние между двумя пристанями равно 16 километров от этих пристани одновременно в одном направлении отплыли две моторные лодки первая моторная лодка двигалась со скоростью 14 километров час вторая лодка шедшая позади двигалась со скоростью 18 километров час через сколько часов после начала движения 2 лодка догонит первую?

Answer 1

18-14 = 4 км/ч - скорость сближения.
16:4 = 4 ч.
Ответ: вторая лодка догонит первую через 4 часа после начала движения.

Answer 2

Problem Analysis

We are given that the distance between two ports is 16 kilometers. Two motorboats start simultaneously from these ports, with the first motorboat moving at a speed of 14 kilometers per hour and the second motorboat moving at a speed of 18 kilometers per hour. We need to determine how many hours it will take for the second motorboat to catch up with the first motorboat.

Solution

To solve this problem, we can use the formula:

Time = Distance / Speed

Let's calculate the time it will take for the second motorboat to catch up with the first motorboat.

Calculation

The distance between the two ports is 16 kilometers. Let's assume that the time it takes for the second motorboat to catch up with the first motorboat is 't' hours.

The first motorboat is moving at a speed of 14 kilometers per hour. Therefore, the distance it covers in 't' hours is 14t kilometers.

The second motorboat is moving at a speed of 18 kilometers per hour. Therefore, the distance it covers in 't' hours is 18t kilometers.

Since the second motorboat catches up with the first motorboat when they cover the same distance, we can set up the equation:

14t + 18t = 16

Simplifying the equation:

32t = 16

Dividing both sides of the equation by 32:

t = 16 / 32

Simplifying further:

t = 0.5

Therefore, it will take 0.5 hours for the second motorboat to catch up with the first motorboat.

Answer

After the start of the journey, the second motorboat will catch up with the first motorboat in 0.5 hours.

Verification

Let's verify the answer using the given information.

The first motorboat is moving at a speed of 14 kilometers per hour. In 0.5 hours, it will cover a distance of 14 * 0.5 = 7 kilometers.

The second motorboat is moving at a speed of 18 kilometers per hour. In 0.5 hours, it will cover a distance of 18 * 0.5 = 9 kilometers.

The total distance covered by both motorboats is 7 + 9 = 16 kilometers, which is equal to the distance between the two ports. Therefore, the second motorboat will catch up with the first motorboat in 0.5 hours.

Conclusion

After the start of the journey, the second motorboat will catch up with the first motorboat in 0.5 hours.