Question

От двух берегов рек навстречу друг другу отошли отошли две лодки. Скорость одной из них 180м/мин,скорость другой - 230м/мин. Какое расстояние будет между лодками через 5мин, если ширина реки 2 км 500 м?

Answer 1

1)2км 500м=2500м
2)180м/мин+230м/мин=410м/мин-скорость сближения
3)410м/мин*5мин=2050м-проехали вместе две лодки
4)2500м-2050м=450м
отв 450м

Answer 2

Problem Analysis

We have two boats moving towards each other from opposite banks of a river. The speed of one boat is 180 m/min, and the speed of the other boat is 230 m/min. We need to find the distance between the boats after 5 minutes, given that the width of the river is 2 km 500 m.

Solution

To find the distance between the boats after 5 minutes, we need to calculate the total distance covered by both boats in 5 minutes and subtract the width of the river from it.

Let's calculate the distance covered by each boat in 5 minutes:

- Boat 1: Speed = 180 m/min, Time = 5 min Distance covered by Boat 1 = Speed * Time = 180 m/min * 5 min = 900 m

- Boat 2: Speed = 230 m/min, Time = 5 min Distance covered by Boat 2 = Speed * Time = 230 m/min * 5 min = 1150 m

Now, let's calculate the total distance covered by both boats in 5 minutes:

Total distance covered = Distance covered by Boat 1 + Distance covered by Boat 2 = 900 m + 1150 m = 2050 m

Finally, let's subtract the width of the river from the total distance covered to find the distance between the boats:

Distance between the boats = Total distance covered - Width of the river = 2050 m - 2500 m = -450 m

The distance between the boats after 5 minutes, given that the width of the river is 2 km 500 m, is -450 meters.

Please note that the negative value indicates that the boats have not yet reached each other and are still some distance apart.

Conclusion

The distance between the boats after 5 minutes, given the speeds of the boats and the width of the river, is -450 meters.