Question

От двух пристаней ,расстояние между которыми 1920км ,одновременно отошли навстречу друг другу два теплохода.один из них шёл со скоростью22км,ч а другой-18км,ч. через сколько часов теплоходы встретились?

Answer 1

1) 22 + 18 = 40 (км/ч ) - вместе
2) 1920 : 40 = 48 ( ч )
Ответ: Через 48 часов они встретились.
 

Answer 2

Problem Analysis

We are given two steamboats that are simultaneously moving towards each other from two different ports. The distance between the ports is 1920 km. The first steamboat is traveling at a speed of 22 km/h, while the second steamboat is traveling at a speed of 18 km/h. We need to determine how many hours it will take for the steamboats to meet.

Solution

To solve this problem, we can use the formula: time = distance / speed.

Let's calculate the time it takes for each steamboat to reach the meeting point.

The first steamboat is traveling at a speed of 22 km/h. The distance it needs to cover is half of the total distance between the ports, which is 1920 km / 2 = 960 km.

Using the formula, we can calculate the time it takes for the first steamboat to reach the meeting point: time1 = distance1 / speed1 = 960 km / 22 km/h.

Similarly, the second steamboat is traveling at a speed of 18 km/h. It also needs to cover a distance of 960 km.

Using the formula, we can calculate the time it takes for the second steamboat to reach the meeting point: time2 = distance2 / speed2 = 960 km / 18 km/h.

To find the total time it takes for the steamboats to meet, we can add the individual times together: total time = time1 + time2.

Let's calculate the values:

1. Calculate the time it takes for the first steamboat to reach the meeting point: time1 = 960 km / 22 km/h.

2. Calculate the time it takes for the second steamboat to reach the meeting point: time2 = 960 km / 18 km/h.

3. Calculate the total time it takes for the steamboats to meet: total time = time1 + time2.

Calculation

1. Calculate the time it takes for the first steamboat to reach the meeting point: time1 = 960 km / 22 km/h = 43.63636363636363 hours.

2. Calculate the time it takes for the second steamboat to reach the meeting point: time2 = 960 km / 18 km/h = 53.333333333333336 hours.

3. Calculate the total time it takes for the steamboats to meet: total time = time1 + time2 = 43.63636363636363 hours + 53.333333333333336 hours = 96.96969696969697 hours.

Therefore, it will take approximately 96.97 hours for the steamboats to meet.

Answer

The steamboats will meet after approximately 96.97 hours.

Explanation

When two objects are moving towards each other, the time it takes for them to meet can be calculated by dividing the distance between them by the sum of their speeds. In this case, the first steamboat is traveling at a speed of 22 km/h and the second steamboat is traveling at a speed of 18 km/h. By dividing the distance between the ports (1920 km) by the sum of their speeds (22 km/h + 18 km/h), we find that it will take approximately 96.97 hours for the steamboats to meet.