Question

ПОМОГИТЕ! Расстояние между пристанями (150 км) теплоход прошёл за 6 часов. На обратном пути его скорость увеличилась на 5 км/ч. За какое время теплоход пройдёт весь путь туда и обратно? (Все действия с пояснениями!)

Answer 1

1)150÷6=25(км\ч) - скорость за 6 часов
2)25+5=30(км\ч) - скорость на обратном пути
3)150÷30=5(ч) на обратном пути
4)6+5=11(ч) - всего времени.

Answer 2

Надо узнать скорость 150:6=25 км в час на обратном пути скорость увеличилась 25+5=30  и узнать сколько времени ушло на обратный путь 150:30=5 часов а теперь узнаем сколько времени на весь путь туда и обратно 6+5=11 часов

Answer 3

Problem Analysis

We are given that a boat traveled a distance of 150 km in 6 hours. On the return trip, the boat's speed increased by 5 km/h. We need to find the total time it takes for the boat to travel the entire distance there and back.

Solution

To find the time it takes for the boat to travel the entire distance there and back, we need to calculate the time it takes for the boat to travel one way and then double it.

Let's start by finding the time it takes for the boat to travel one way.

We know that distance = speed × time. Rearranging the formula, we have time = distance / speed.

For the first trip, the boat traveled a distance of 150 km in 6 hours. Therefore, the speed for the first trip is 150 km / 6 hours = 25 km/h.

Now, let's calculate the time it takes for the boat to travel one way.

First Trip: - Distance: 150 km - Speed: 25 km/h - Time = Distance / Speed = 150 km / 25 km/h = 6 hours

So, it takes 6 hours for the boat to travel one way.

Now, let's calculate the time it takes for the boat to travel the entire distance there and back.

Total Time: - One-way time: 6 hours - Return trip time: Since the boat's speed increased by 5 km/h, the speed for the return trip is 25 km/h + 5 km/h = 30 km/h. - Distance for the return trip: 150 km - Time for the return trip = Distance / Speed = 150 km / 30 km/h = 5 hours

To find the total time, we add the one-way time and the return trip time: 6 hours + 5 hours = 11 hours.

Therefore, it takes the boat 11 hours to travel the entire distance there and back.

Answer

The boat will take 11 hours to travel the entire distance there and back.

Verification

Let's verify the answer using the given information.

- The boat traveled a distance of 150 km in 6 hours on the first trip. - On the return trip, the boat's speed increased by 5 km/h. - The distance for the return trip is also 150 km.

Using the calculated time for the return trip, we can verify that the boat will indeed travel the entire distance there and back in 11 hours.

Verification: - First trip time: 6 hours - Return trip time: 5 hours - Total time: 6 hours + 5 hours = 11 hours

The calculated total time matches the given information, so the answer is verified.

Conclusion

The boat will take 11 hours to travel the entire distance there and back.