Question

Помогите решить задачу.расстояние между пристанями 150 км теплоход прошол за 6 чачов.на обратном пути его скорость увеличилась на 5 км/ч.за какое время теплоход пройдёт весь путь туда и обратно заранее спасибо

Answer 1

Расстояние -150км
6час в одном направлении
в обратном скорость увеличилась на 5км/час

150/6=25км/час - скорость теплохода в одном направлении
25+5=30км/час - скорость теплохода в обратном направлении
150/30=5час - время затраченное на дорогу в обратном направлении
6+5=11час - время за которое теплоход пройдет весь путь туда и обратно

Answer 2

Problem Analysis

To solve this problem, we need to find the total time it takes for the boat to travel the entire distance both ways. We are given that the distance between the piers is 150 km and the boat took 6 hours to travel one way. On the return trip, the boat's speed increased by 5 km/h. We need to determine the total time for the round trip.

Solution

Let's break down the problem into steps:

1. Calculate the time taken for the boat to travel one way. 2. Calculate the time taken for the boat to travel the return trip. 3. Add the times from steps 1 and 2 to find the total time for the round trip.

Step 1: Calculate the time taken for the boat to travel one way

We are given that the boat took 6 hours to travel one way. Therefore, the time taken for the boat to travel one way is 6 hours.

Step 2: Calculate the time taken for the boat to travel the return trip

On the return trip, the boat's speed increased by 5 km/h. To calculate the time taken for the return trip, we need to find the speed of the boat on the return trip.

Let's assume the speed of the boat on the outbound trip is x km/h. Since the boat's speed increased by 5 km/h on the return trip, the speed on the return trip is (x + 5) km/h.

We can use the formula: time = distance / speed to calculate the time taken for the return trip.

The distance for the return trip is also 150 km.

Therefore, the time taken for the return trip is: 150 km / (x + 5) km/h.

Step 3: Calculate the total time for the round trip

To find the total time for the round trip, we need to add the times from steps 1 and 2.

Total time = Time for one way + Time for return trip

Total time = 6 hours + (150 km / (x + 5) km/h)

Now we have the equation to find the total time for the round trip.

Solving the equation

To solve the equation, we need to find the value of x. Unfortunately, we don't have enough information to determine the value of x. The problem statement does not provide any additional information about the speed of the boat on the outbound trip.

Therefore, we cannot determine the exact total time for the round trip without knowing the speed of the boat on the outbound trip.

If you have any additional information or if there is anything else I can assist you with, please let me know!