Question

Решить задачу по действиям : В полдень от пристани отошёл теплоход и двигался со скоростью 16км/ч. Через 3 ч. навстречу ему отошёл другой теплоход и через 12 ч. они встретились. С какой скоростью двигался второй теплоход , если расстояние между пристанями 480км?

Answer 1

1. 16·3=48 км/ч - двигался первый теплоход. 2. 480:48=10 км/ч - двигался второй теплоход.

Answer 2

Problem Analysis

We are given the following information: - A steamboat departs from a pier at noon and travels at a speed of 16 km/h. - After 3 hours, another steamboat departs from the same pier and travels towards the first steamboat. - The two steamboats meet after 12 hours. - The distance between the piers is 480 km.

We need to find the speed of the second steamboat.

Solution

Let's assume the speed of the second steamboat is x km/h.

We can calculate the distance traveled by the first steamboat in 12 hours using the formula: distance = speed * time. The distance traveled by the first steamboat is 16 km/h * 12 hours = 192 km.

Since the two steamboats meet, the sum of the distances traveled by both steamboats should be equal to the total distance between the piers, which is 480 km.

Therefore, the distance traveled by the second steamboat is 480 km - 192 km = 288 km.

We can calculate the speed of the second steamboat using the formula: speed = distance / time. The speed of the second steamboat is 288 km / 12 hours = 24 km/h.

Answer

The second steamboat was traveling at a speed of 24 km/h.

Verification

Let's verify the answer using the given information.

The first steamboat traveled for 12 hours at a speed of 16 km/h, covering a distance of 16 km/h * 12 hours = 192 km.

The second steamboat traveled for 12 hours at a speed of 24 km/h, covering a distance of 24 km/h * 12 hours = 288 km.

The sum of the distances traveled by both steamboats is 192 km + 288 km = 480 km, which is equal to the total distance between the piers.

Therefore, the answer is verified.