Question

От двух причалов расстояние между которыми 120 километров вышли одновременно на встречу друг другу два катеры.один катер ПРОХОДИТ ЭТО РАССТОЯНИЕ за 10 часов,а другой ПРОХОДИТ ЭТО РАССТОЯНИЕ за 15 часов через сколько часов катера встретятся?

Answer 1

Скорость первого
120/10=12 км/ч
скорость второго
120/15=8 км/ч
скорость сближения
12+8=20 км/ч
значит они встретятся через
120/20=6 часов

Answer 2

120÷10=12 км/ч 1 катер 120÷15=8 км/ч 2 катер Методом вычисления получаем 6 ч 6×12=72 6×8=48 48+72=120

Answer 3

Problem Analysis

We are given that two boats start from two different docks that are 120 kilometers apart and are moving towards each other. One boat covers this distance in 10 hours, while the other boat covers the same distance in 15 hours. We need to determine how many hours it will take for the two boats to meet.

Solution

To solve this problem, we can use the concept of relative speed. The relative speed between the two boats is the sum of their individual speeds. Let's denote the speed of the first boat as s1 and the speed of the second boat as s2.

We are given that the first boat covers the distance of 120 kilometers in 10 hours, so its speed can be calculated as:

s1 = distance / time = 120 km / 10 hours = 12 km/h Similarly, the speed of the second boat can be calculated as:

s2 = distance / time = 120 km / 15 hours = 8 km/h Now, to determine the time it takes for the two boats to meet, we can use the formula:

time = distance / relative speed

The relative speed is the sum of the speeds of the two boats:

relative speed = s1 + s2 = 12 km/h + 8 km/h = 20 km/h

Substituting the values into the formula, we get:

time = 120 km / 20 km/h = 6 hours

Therefore, the two boats will meet after 6 hours.

Answer

The two boats will meet after 6 hours.