Question

Из пунктов А и В, расстояние между которыми 260 км, одновременно навстречу друг другу выехали велосипедист и мотоциклист. Скорость велосипедиста - 13 км/ч, а мотоциклиста - 52 км/ч. Скорость сближения велосипедиста и мотоциклиста? Через какое время после начала движения велосипедист и мотоциклист встретятся?

Answer 1

13+52=65км/ч-скорость сближения

260:65=4ч-до встречи

Answer 2

Problem Analysis

We are given that two individuals, a cyclist and a motorcyclist, start simultaneously from points A and B, which are 260 km apart. The cyclist has a speed of 13 km/h, while the motorcyclist has a speed of 52 km/h. We need to determine the closing speed between the cyclist and the motorcyclist and the time it takes for them to meet.

Closing Speed Calculation

The closing speed between the cyclist and the motorcyclist is the sum of their individual speeds. Therefore, the closing speed is 13 km/h + 52 km/h = 65 km/h.

Time to Meet Calculation

To calculate the time it takes for the cyclist and the motorcyclist to meet, we can use the formula:

Time = Distance / Speed

Since they are moving towards each other, the distance between them is decreasing at a rate equal to the sum of their speeds. Therefore, we can use the formula:

Time = Distance / Closing Speed

Substituting the given values, we have:

Time = 260 km / 65 km/h = 4 hours

Therefore, the cyclist and the motorcyclist will meet after 4 hours.

Conclusion

The closing speed between the cyclist and the motorcyclist is 65 km/h, and they will meet after 4 hours.