Question

От двух пристаней, расстояние между которыми 134км, одновременно отошли навстречу друг другу два теплохода. Один из них шел со скоростью 19км/ч, а другой 15км/ч.Через сколько часов они встретятся?

Answer 1

Через 4 часа они встретятся

Answer 2

Problem Analysis

We have two steamboats that are moving towards each other from two different piers. The distance between the piers is 134 km. The first steamboat is traveling at a speed of 19 km/h, while the second steamboat is traveling at a speed of 15 km/h. We need to determine how many hours it will take for the two steamboats to meet.

Solution

To solve this problem, we can use the formula: time = distance / speed. We can calculate the time it takes for each steamboat to reach the meeting point, and then find the minimum time.

Let's calculate the time it takes for the first steamboat to reach the meeting point: - Distance traveled by the first steamboat = 19 km/h * time - Distance traveled by the second steamboat = 15 km/h * time - The sum of the distances traveled by both steamboats should be equal to the total distance between the piers, which is 134 km.

We can set up the following equation to solve for time: 19 km/h * time + 15 km/h * time = 134 km

Now, let's solve the equation to find the value of time.

Calculation

19 km/h * time + 15 km/h * time = 134 km

Combining like terms: 34 km/h * time = 134 km

Dividing both sides by 34 km/h: time = 134 km / 34 km/h

Calculating the value of time: time = 3.941 hours

Answer

The two steamboats will meet approximately 3.941 hours after they start moving towards each other.

Please note that the above calculation assumes that the steamboats start moving at the same time. If they start at different times, the calculation will be different.