Question

Из одного пункта одновременно в противоположных направлениях выехал Мотоциклист и велосипедист скорость велосипедиста 132 метров в минуту а мотоциклиста в 2 раза больше Через какое время расстояние между ними будет 3 километра 960 метров

Answer 1

3км 960 м = 3960 м
1) 132*2=264 (м/мин) - скорость мотоциклиста
2) 132 + 264 = 396 (м/мин) - скорость, с которой мотоциклист и велосипедист удаляются друг от друга
3) 3960 / 396 = 10 (мин) - время, через котрое расстояние между ними будет 3960м

Answer 2

132*2=264м/мин скорость мотоцикла
132+264=396м/мин скорость отдаления
3960:396=10мин-через такое время между ними будет 3км960м

Answer 3

Problem Analysis

We are given that a motorcyclist and a cyclist start from the same point in opposite directions. The speed of the cyclist is 132 meters per minute, while the speed of the motorcyclist is twice that of the cyclist. We need to find the time it takes for the distance between them to be 3 kilometers and 960 meters.

Solution

Let's denote the speed of the cyclist as v and the speed of the motorcyclist as 2v. We need to find the time it takes for the distance between them to be 3 kilometers and 960 meters.

To solve this problem, we can use the formula:

Distance = Speed × Time

Let's denote the time it takes for the distance between them to be 3 kilometers and 960 meters as t.

For the cyclist: Distance covered by the cyclist = Speed of the cyclist × Time Distance covered by the cyclist = 132 × t (in meters)

For the motorcyclist: Distance covered by the motorcyclist = Speed of the motorcyclist × Time Distance covered by the motorcyclist = (2 × 132) × t (in meters)

The total distance between them is the sum of the distances covered by the cyclist and the motorcyclist:

Total distance = Distance covered by the cyclist + Distance covered by the motorcyclist Total distance = 132 × t + (2 × 132) × t (in meters)

We know that the total distance between them is 3 kilometers and 960 meters, which is equal to 3,960 meters. So we can set up the equation:

3,960 = 132 × t + (2 × 132) × t

Now we can solve this equation to find the value of t.

Calculation

Let's solve the equation:

3,960 = 132 × t + (2 × 132) × t

Simplifying the equation:

3,960 = 132t + 264t

Combining like terms:

3,960 = 396t

Dividing both sides by 396:

t = 3,960 / 396

Calculating the value of t:

t = 10

Answer

The time it takes for the distance between the motorcyclist and the cyclist to be 3 kilometers and 960 meters is 10 minutes.

Conclusion

In conclusion, the motorcyclist and the cyclist will be 3 kilometers and 960 meters apart after 10 minutes.