Question

Из двух городов расстояние между которыми 120 км одновременно отошли навстречу друг другу два теплохода. Один из них шел со скоростью 22км/ч, другой - со скоростью 18км/ч. Через сколько часов теплоходы встретились? Какое расстояние прошел до встречи каждый теплоход?

Answer 1

22+18=40км/ч. 120км:40км/ч=3час. 22×3=66 км/ч, 18×3=54км/ч.

Answer 2

Problem Analysis

We have two boats traveling towards each other from two different cities. The distance between the cities is 120 km. One boat is traveling at a speed of 22 km/h, while the other is traveling at a speed of 18 km/h. We need to determine how many hours it takes for the boats to meet and the distance each boat has traveled before the meeting.

Solution

To solve this problem, we can use the formula: time = distance / speed. We can calculate the time it takes for each boat to reach the meeting point and then determine the distance traveled by each boat.

Let's calculate the time it takes for each boat to reach the meeting point:

Boat 1: - Speed: 22 km/h - Distance: 120 km - Time = Distance / Speed = 120 km / 22 km/h = 5.45 hours

Boat 2: - Speed: 18 km/h - Distance: 120 km - Time = Distance / Speed = 120 km / 18 km/h = 6.67 hours

Since both boats started at the same time, we can conclude that it takes approximately 5.45 hours for the boats to meet.

Now, let's calculate the distance traveled by each boat before the meeting:

Boat 1: - Speed: 22 km/h - Time: 5.45 hours - Distance = Speed * Time = 22 km/h * 5.45 hours = 120 km

Boat 2: - Speed: 18 km/h - Time: 5.45 hours - Distance = Speed * Time = 18 km/h * 5.45 hours = 98.1 km

Therefore, Boat 1 traveled a distance of 120 km before the meeting, while Boat 2 traveled a distance of 98.1 km.

Answer

The boats will meet approximately after 5.45 hours. Boat 1 will have traveled a distance of 120 km, while Boat 2 will have traveled a distance of 98.1 km.

Please note that the calculations are approximate and may vary slightly depending on the exact values used.