Question

Дві мурахи повзли через стежку назустріч одна одній і зустрілися через 15 с. Перша мураха повзла зі швидкістю 4 см/с, а друга – зі швидкістю 6 см/с. Яка ширина стежки?

Answer 1

Пошаговое объяснение:

1)15:2 =7,5(секунд)-перша і друга мураха повзли по 7,5 секунд

2)7,5•4=30 (см) проповзла 1 мураха

3)7,5•6=45 (см) проповзла 2 мураха

4) 30+45=75 (см)-ширина стежки

Відповідь: ширина стешки 75 см

Answer 2

Problem Analysis

To find the width of the path, we can use the concept of relative motion. Let's consider the motion of the two ants and their relative motion when they meet.

Relative Motion

When the ants meet, their relative speed is the sum of their individual speeds. The time taken to meet is 15 seconds, and the relative speed is the sum of their speeds.

Calculating Relative Speed

The relative speed of the ants is the sum of their individual speeds: - Ant 1 speed = 4 cm/s - Ant 2 speed = 6 cm/s - Relative speed = 4 cm/s + 6 cm/s = 10 cm/s

Calculating Distance

Using the formula: distance = speed × time, we can find the distance each ant traveled before meeting.

- Distance traveled by Ant 1 = 4 cm/s × 15 s = 60 cm - Distance traveled by Ant 2 = 6 cm/s × 15 s = 90 cm

Finding the Width of the Path

When the ants meet, the total distance they cover will be equal to the width of the path. Therefore, the width of the path is the sum of the distances traveled by the two ants when they meet.

- Width of the path = Distance traveled by Ant 1 + Distance traveled by Ant 2 - Width of the path = 60 cm + 90 cm = 150 cm

The width of the path is 150 cm.