Question

От двух пристаней,находящихся на расстоянии 560 км друг от друга,отплыли одновременно навстречу друг другу баржа и катер.Через сколько часов они встретились,если скорость баржи 25км/ч,а скорость катера 45км/ч?

Answer 1

45+25= 70 км/ч скорость сближения
t= S:V сближения
560:70= 8 часов

Answer 2

Problem Analysis

We are given that a barge and a motorboat set off simultaneously from two different docks that are 560 km apart. We need to determine how many hours it takes for them to meet if the barge's speed is 25 km/h and the motorboat's speed is 45 km/h.

Solution

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

Let's calculate the time it takes for the barge and motorboat to meet:

1. The distance between the two docks is 560 km. 2. The barge's speed is 25 km/h, so the time it takes for the barge to travel the distance is: time_barge = distance / speed_barge = 560 km / 25 km/h. 3. The motorboat's speed is 45 km/h, so the time it takes for the motorboat to travel the distance is: time_motorboat = distance / speed_motorboat = 560 km / 45 km/h.

To find the total time it takes for them to meet, we can add the times it takes for each of them to travel the distance: total_time = time_barge + time_motorboat.

Let's calculate the total time:

1. time_barge = 560 km / 25 km/h = 22.4 hours. 2. time_motorboat = 560 km / 45 km/h = 12.44 hours. 3. total_time = time_barge + time_motorboat = 22.4 hours + 12.44 hours.

Therefore, it takes approximately 34.84 hours for the barge and motorboat to meet.

Answer

The barge and motorboat will meet approximately 34.84 hours after they set off from their respective docks.