Question

Два велосипедиста выехали одновременно навстречу друг другу из двух поселков. Скорость одного велосипедиста 200м/минуту, а другого -300м/минуту. Найди расстояние между поселками, если через 5 минут расстояние между велосипедистами было равно 2 км

Answer 1

За 5 минут путь первого велосипедиста: S1=U1*t= 200*5=1000 (м)
Второго велосипедиста: S2=U2*t=300*5=1500 (м)
Так как ехали навстречу, то общее расстояние между посёлками: S=s1+s2+2 (км)=1000+1500+2000=3500=3,5 (км)

Answer 2

Problem Analysis

Two cyclists start simultaneously from two different settlements and are moving towards each other. The speed of one cyclist is 200 m/minute, while the speed of the other cyclist is 300 m/minute. After 5 minutes, the distance between the cyclists is 2 km. We need to find the distance between the settlements.

Solution

To find the distance between the settlements, we can use the formula: distance = speed * time.

Let's assume that the distance between the settlements is d km. After 5 minutes, the first cyclist has covered a distance of 200 * (5/60) = 16.67 m and the second cyclist has covered a distance of 300 * (5/60) = 25 m.

The total distance covered by both cyclists after 5 minutes is equal to the distance between the settlements, which is d km. So we can write the equation:

16.67 + 25 = d

Simplifying the equation, we get:

41.67 = d

Therefore, the distance between the settlements is 41.67 km.

Answer

The distance between the settlements is approximately 41.67 km.