Question

С противоположных концов катка длиной 450 м одновременно побежали навстречу друг другу 2 мальчика. Через сколько секунд они встретятся, если скорость одного мальчика 9 м/с, а другого 6 м/с? С одного и того же края катка одновременно в одном направлении побежали 2 мальчика со скоростью 9 м/с и 6 м/с. Через сколько секунд один из них окажется на 150 м впереди другого?

Answer 1

Пусть через X c встретятся мальчики, тогда зная что каток 450м
составим уравнение.
9X+6X=450
15X=450
X=30
ответ: через 30 сек встретятся мальчики.

9-6=3 м/с -разница в скорости
150/3=50с
Ответ: через 50 сек из них окажется на 150 м впереди другого

Answer 2

Problem Statement

Two boys start running towards each other from opposite ends of a 450 m long skating rink. One boy runs at a speed of 9 m/s, while the other runs at a speed of 6 m/s. How many seconds will it take for them to meet?

Additionally, two boys start running in the same direction from one end of the skating rink. One boy runs at a speed of 9 m/s, while the other runs at a speed of 6 m/s. How many seconds will it take for one of them to be 150 m ahead of the other?

Answer

To find the time it takes for the two boys to meet, we can use the formula:

Time = Distance / Relative Speed

The relative speed is the sum of their individual speeds since they are running towards each other. In this case, the relative speed is 9 m/s + 6 m/s = 15 m/s.

Using the formula, we can calculate the time it takes for them to meet:

Time = 450 m / 15 m/s = 30 seconds.

Therefore, it will take 30 seconds for the two boys to meet.

To find the time it takes for one of the boys to be 150 m ahead of the other, we can use the same formula:

Time = Distance / Relative Speed

In this case, the relative speed is the difference between their individual speeds since they are running in the same direction. In this case, the relative speed is 9 m/s - 6 m/s = 3 m/s.

Using the formula, we can calculate the time it takes for one of them to be 150 m ahead:

Time = 150 m / 3 m/s = 50 seconds.

Therefore, it will take 50 seconds for one of the boys to be 150 m ahead of the other.