Question

Из портов,расстояние между которыми 396км,одновременно навстречу друг другу вышли пассажирский и грузовой теплоходы.Скорость грузового теплохода 18км/ч и это на 8км/ч меньше,чем скорость пассажирского.Какое расстояние прошел каждый теплоход до встречи?

Answer 1

18+8=26км/ч скорость пассажирского,

18+26=44км/ч скорость сближения,

396/44=9 часов время в пути,

18*9=162 км расстояние прошел грузовой теплоход до встречи,

26*9=234 км расстояние прошел пассажирский теплоход до встречи,

Answer 2

Calculating the Distance Traveled by Each Ship

To calculate the distance traveled by each ship before they meet, we can use the formula: distance = speed * time

Let's denote: - d as the distance traveled by the passenger ship - t as the time taken for the ships to meet - 18 km/h as the speed of the cargo ship - v km/h as the speed of the passenger ship

We know that the total distance between the ships is 396 km.

We can use the formula distance = speed * time to calculate the time taken for the ships to meet. Then, we can use this time to find the distance traveled by each ship.

Calculating the Time Taken for the Ships to Meet

The time taken for the ships to meet can be calculated using the formula: time = distance / relative speed

The relative speed of the two ships is the sum of their speeds, as they are moving towards each other.

The relative speed is: 18 km/h (cargo ship) + v km/h (passenger ship)

Using the given total distance of 396 km, we can calculate the time taken for the ships to meet.

Calculating the Distance Traveled by Each Ship

Once we have the time taken for the ships to meet, we can calculate the distance traveled by each ship.

The distance traveled by the cargo ship is: 18 km/h * t

The distance traveled by the passenger ship is: v km/h * t

Substituting the calculated value of t into these formulas will give us the distances traveled by each ship.

Conclusion

By following these steps, we can calculate the distance traveled by each ship before they meet.