Question

Помогите решить задачу: Гусеницы соснового коконопряда одновременно поползли навстречу друг другу. Скорость одной гусеницы 13м/ч, скорость другой - 15м/ч. Через сколько часов они встретятся , если первоначальное расстояние между ними 56 м?

Answer 1

15+13=28 м/ч - скорость сближения
56/28=2 ч - через два часа они встретятся

Answer 2

Problem Analysis

To solve this problem, we need to determine the time it takes for two caterpillars to meet when they are crawling towards each other at different speeds. We are given the speeds of the two caterpillars and the initial distance between them.

Solution

Let's denote the speed of the first caterpillar as v1 (13 m/h) and the speed of the second caterpillar as v2 (15 m/h). The initial distance between them is given as d (56 m).

To find the time it takes for the two caterpillars to meet, we can use the formula:

time = distance / relative speed

The relative speed is the sum of the speeds of the two caterpillars since they are moving towards each other.

Let's calculate the relative speed:

relative speed = v1 + v2

Substituting the given values:

relative speed = 13 m/h + 15 m/h = 28 m/h

Now, we can calculate the time it takes for the two caterpillars to meet:

time = d / relative speed

Substituting the given values:

time = 56 m / 28 m/h = 2 hours

Therefore, the two caterpillars will meet after 2 hours.

Answer

The two caterpillars will meet after 2 hours.

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