Question

Расстояние между двумя пунктами равно 54 км. Из этих пунктов одновременно навстречу друг другу выехали два велосипедиста.Через 2 ч они встретились.До встречи расстояние, пройденное первым велосипедистом, оказалось в 1,25 раза больше, чем расстояние. пройденное вторым велосипедистом. Найдите скорость первого велосипедиста. Найдите скорость второго велосипедиста

Answer 1

Скорость 1-ого 1,25х Скорость 2-ого х Расстояние 54 Время 2ч. (1,25x*x)*2=54 2,25х*2=54 4,5х=54 Х=12 скорость второго 1,25*12=15 скорость первого

Answer 2

Problem Analysis

We are given that the distance between two points is 54 km. Two cyclists start simultaneously from these points and meet after 2 hours. The distance covered by the first cyclist is 1.25 times greater than the distance covered by the second cyclist. We need to find the speeds of both cyclists.

Solution

Let's assume the speed of the second cyclist is x km/h. Since the distance covered by the first cyclist is 1.25 times greater, the speed of the first cyclist can be represented as 1.25x km/h.

We can use the formula `distance = speed × time` to calculate the distances covered by both cyclists.

The distance covered by the first cyclist is given by: distance1 = speed1 × time = (1.25x) × 2 = 2.5x km

The distance covered by the second cyclist is given by: distance2 = speed2 × time = x × 2 = 2x km

We are also given that the sum of the distances covered by both cyclists is equal to the total distance between the points, which is 54 km: distance1 + distance2 = 54

Substituting the values of distance1 and distance2, we get: 2.5x + 2x = 54

Simplifying the equation: 4.5x = 54

Dividing both sides by 4.5, we find: x = 12

Therefore, the speed of the second cyclist is 12 km/h.

To find the speed of the first cyclist, we can substitute the value of x into the equation for the speed of the first cyclist: speed1 = 1.25x = 1.25 × 12 = 15 km/h

Therefore, the speed of the first cyclist is 15 km/h.

Answer

The speed of the first cyclist is 15 km/h, and the speed of the second cyclist is 12 km/h.