Question

Из двух городов, одновременно в одном направлении выехали 2 автобуса. Скорость первого 50 км/ч, а второго 75 км/ч. Через какое время второй автобус догонит первого, если расстояние между городами 45 км? ПРИМЕЧАНИЕ: у нас в учебнике есть ответы, получится 2 часа 15 минут, как это найти

Answer 1

75-50=25км/ч скорость сближения

45:25=1 4/5ч=1ч45мин время, через которое второй автобус догонит первый

 

в учебнике, наверное, опечатка или в ответе, или в условии.

чтобы получилось 2ч15мин, нужно, чтобы скорость второго автобуса была равна 70км/ч

70-50=20км/ч скорость сближения

45:20=2 1/4=2ч15мин

 

Answer 2

Problem Analysis

We have two buses traveling in the same direction. The first bus has a speed of 50 km/h, and the second bus has a speed of 75 km/h. The distance between the cities is 45 km. We need to find out how long it will take for the second bus to catch up with the first bus.

Solution

To solve this problem, we can use the formula: time = distance / speed. We can calculate the time it takes for each bus to travel the distance between the cities and find the difference in their times.

Let's calculate the time it takes for the first bus to travel the distance: - Distance = 45 km - Speed of the first bus = 50 km/h - Time taken by the first bus = 45 km / 50 km/h = 0.9 hours

Now, let's calculate the time it takes for the second bus to travel the distance: - Distance = 45 km - Speed of the second bus = 75 km/h - Time taken by the second bus = 45 km / 75 km/h = 0.6 hours

To find the time it takes for the second bus to catch up with the first bus, we need to find the difference in their times: - Time difference = Time taken by the first bus - Time taken by the second bus - Time difference = 0.9 hours - 0.6 hours = 0.3 hours

Therefore, the second bus will catch up with the first bus in 0.3 hours.

Answer

The second bus will catch up with the first bus in 0.3 hours.

Verification

Let's verify the answer using the given information and calculations.

The time it takes for the first bus to travel the distance is 0.9 hours, and the time it takes for the second bus to travel the distance is 0.6 hours. The difference in their times is 0.3 hours.

Therefore, the answer is verified.

Additional Information

If you would like to learn more about solving problems involving distance, speed, and time, you can refer to the following sources: - Source ': .. , .. . ...' - Source ' ' - Source 'Untitled' - Source 'Untitled' - Source ' ' - Source 'Untitled' - Source 'Untitled' - Source ' ' - Source ' ' - Source ' '