Question

Из пункта А в пункт Б в одно и то же время в противоположных направлениях выехали два мотоциклиста. Скорость первого 60 км/ч Скорость второго на 20 км/ч больше. Чему равно расстояние междк пунктами если известно что они ехали 6 ч

Answer 1

Answer in detail. From point A to point B at the same time in opposite directions, two motorcyclists left. The speed of the first is 60 km/h. The speed of the second is 20 km/h more. What is the distance between the points if it is known that they drove for 6 hours?

This is a text problem on motion. To solve it, we need to use the formula for the distance traveled by a moving object: $$d = v \cdot t$$, where $$d$$ is the distance, $$v$$ is the speed, and $$t$$ is the time.

Let $$d$$ be the distance between points A and B, and let $$v_1$$ and $$v_2$$ be the speeds of the first and second motorcyclists, respectively. Then we have:

$$v_1 = 60 \text{ km/h}$$ $$v_2 = v_1 + 20 = 60 + 20 = 80 \text{ km/h}$$ $$t = 6 \text{ h}$$

Since the motorcyclists left at the same time in opposite directions, they covered the whole distance between A and B in 6 hours. Therefore, we can write:

$$d = v_1 \cdot t + v_2 \cdot t$$

Substituting the values of $$v_1$$, $$v_2$$, and $$t$$, we get:

$$d = 60 \cdot 6 + 80 \cdot 6$$ $$d = 360 + 480$$ $$d = 840 \text{ km}$$

Hence, the distance between points A and B is 840 km.