Question

Срочно! Из городов А и В, расстояние между которыми 96 км, одновременно навстречу друг другу выехали два автомобилиста. Выехавший из пункта А автомобилист, проехав какую-то часть пути, сделал остановку на треть часа, а затем продолжил движение до встречи со вторым автомобилистом. Известно, что скорость первого автомобилиста равна 60км/ч, а второго 56км/ч. На каком расстоянии от города В встретятся автомобилисты? Ответ дайте в километрах. В ответ запишите только число

Answer 1

Пояснения:

Второй автомобилист проехал расстояние У за то же время, что первый автомобилист проехал расстояние Х плюс то время (1/3 часа), на которое он сделал остановку

Ответ: 56 км

Answer 2

Calculation of the Meeting Point

To calculate the distance at which the two drivers will meet, we need to consider the speeds of both drivers and the time it takes for the first driver to make a stop.

Let's break down the information given:

- Distance between cities A and B: 96 km - Speed of the first driver: 60 km/h - Speed of the second driver: 56 km/h - The first driver makes a stop for one-third of an hour (20 minutes) before continuing the journey.

To find the meeting point, we can use the formula:

Distance = Speed x Time

Let's calculate the time it takes for the first driver to reach the meeting point after making the stop:

Time = Distance / Speed

The distance traveled by the first driver before making the stop can be calculated as:

Distance Traveled = Distance - Distance Covered After the Stop

The distance covered after the stop can be calculated as:

Distance Covered After the Stop = Speed x Time

Substituting the values into the formulas:

Distance Traveled = 96 km - (60 km/h x 1/3 h)

Distance Covered After the Stop = 60 km/h x 1/3 h

Now, we can calculate the time it takes for the first driver to reach the meeting point:

Time = Distance Traveled / Speed

Substituting the values into the formula:

Time = (96 km - (60 km/h x 1/3 h)) / 60 km/h

Simplifying the equation:

Time = (96 km - 20 km) / 60 km/h

Time = 76 km / 60 km/h

Time = 1.27 hours

Finally, we can calculate the distance from city B where the two drivers will meet:

Distance from City B = Speed of the second driver x Time

Substituting the values into the formula:

Distance from City B = 56 km/h x 1.27 hours

Calculating the result:

Distance from City B = 71.12 km

Therefore, the two drivers will meet approximately 71.12 km from city B.