Question

В момент ,когда мотоциклисты одновременно начали двигаться навстречу друг другу,расстояние между ними было 220 км. Через какое время расстояние между ними будет 40 км, если известно, что скорость одного мотоциклиста 60 км/ч, что в 2 раза больше скорости другого?

Answer 1

1)60:2=30(км/год)-швидкість другого.
2)220-40=180(км)-вони проїдуть.
3)180:30=4(год)
Відповідь:4 години.

Answer 2

Problem Analysis

We are given that two motorcyclists start moving towards each other simultaneously, with a distance of 220 km between them. We are also given that one motorcyclist is traveling at a speed of 60 km/h, which is twice the speed of the other motorcyclist. We need to determine how long it will take for the distance between them to become 40 km.

Solution

To solve this problem, we can use the formula: time = distance / speed. We will calculate the time it takes for each motorcyclist to cover the given distances and compare their times.

Let's denote the speed of the slower motorcyclist as x km/h. Since the speed of the faster motorcyclist is twice that of the slower motorcyclist, the speed of the faster motorcyclist is 2x km/h.

We can calculate the time it takes for each motorcyclist to cover the given distances as follows:

For the slower motorcyclist: - Distance = 220 km - Speed = x km/h - Time = Distance / Speed = 220 / x hours

For the faster motorcyclist: - Distance = 220 km - Speed = 2x km/h - Time = Distance / Speed = 220 / 2x hours

We need to find the time it takes for the distance between them to become 40 km. Let's denote this time as t hours.

Using the formula for the slower motorcyclist, we have: 220 / x = t

Using the formula for the faster motorcyclist, we have: 220 / 2x = t

Since both expressions are equal to t, we can set them equal to each other and solve for x:

220 / x = 220 / 2x

Simplifying the equation, we get: x = 2x

Dividing both sides by x, we get: 1 = 2

This equation is not possible, which means there is no solution. Therefore, the given scenario is not possible.

Conclusion

In the given scenario, where two motorcyclists start moving towards each other simultaneously with a distance of 220 km between them, and one motorcyclist is traveling at a speed of 60 km/h, which is twice the speed of the other motorcyclist, it is not possible for the distance between them to become 40 km.