Question

Семья Беляевых выехала из Москвы в Туапсе на автомобиле со скоростью 80 км/ч. В этот же момент навстречу им из Туапсе выехала семья Соколовых. Автомобиль Соколовых ехал на 9 км/ч быстрее, чем автомобиль Беляевых. Какое расстояние между Беляевыми и Соколовыми будет через четверть суток, если расстояние от Москвы до Туапсе составляет 1500 км? помогите плиз

Answer 1

Ответ:

486 км

Пошаговое объяснение:

Скорость Соколовых 80+9=89 км/ч

Скорость сближения семей 80+89=169 км/ч

За 6 часов (24:4)  сблизятся на  169*6=1014 КМ

Расстояние между ними будет  1500-1014=486 км

Answer 2

Ответ:

486 км

Пошаговое объяснение:

Скорость Соколовых 80+9=89 км/ч

Скорость сближения семей 80+89=169 км/ч

За 6 часов (24:4)  сблизятся на  169*6=1014 КМ

Расстояние между ними будет  1500-1014=486 км

Answer 3

Calculation of the Distance between the Belyaevs and Sokolovs

To calculate the distance between the Belyaevs and Sokolovs after a quarter of a day, we need to consider their speeds and the time elapsed.

Given information: - The Belyaevs traveled from Moscow to Tuapse, a distance of 1500 km. - The Belyaevs were driving at a speed of 80 km/h. - The Sokolovs were driving from Tuapse towards Moscow. - The Sokolovs were driving 9 km/h faster than the Belyaevs.

To find the distance between the Belyaevs and Sokolovs after a quarter of a day, we need to calculate the distance each family has traveled.

Calculation Steps:

1. Calculate the distance the Belyaevs have traveled after a quarter of a day: - Speed of the Belyaevs: 80 km/h - Time elapsed: 1/4 day = 24 hours / 4 = 6 hours - Distance traveled by the Belyaevs: Speed * Time = 80 km/h * 6 hours = 480 km

2. Calculate the distance the Sokolovs have traveled after a quarter of a day: - Speed of the Sokolovs: 80 km/h + 9 km/h = 89 km/h - Time elapsed: 1/4 day = 24 hours / 4 = 6 hours - Distance traveled by the Sokolovs: Speed * Time = 89 km/h * 6 hours = 534 km

3. Calculate the distance between the Belyaevs and Sokolovs after a quarter of a day: - Distance between the Belyaevs and Sokolovs = Distance traveled by the Belyaevs - Distance traveled by the Sokolovs - Distance between the Belyaevs and Sokolovs = 480 km - 534 km = -54 km

Answer:

After a quarter of a day, the distance between the Belyaevs and Sokolovs will be 54 km. However, the negative sign indicates that the Sokolovs have traveled 54 km past the Belyaevs, meaning they are ahead of the Belyaevs on the road.

Please note that the negative sign indicates the relative position of the Sokolovs with respect to the Belyaevs.