Question

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

Answer 1

54:2=27 скорость сближения
х+1.25х=27
2.25х=27
х=12
1.25х=15
Ответ 12 км/ч и 15 км/ч

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 first cyclist is v1 km/h and the speed of the second cyclist is v2 km/h.

We know that speed is equal to distance divided by time. Therefore, we can write the following equations:

For the first cyclist: distance1 = v1 * time1

For the second cyclist: distance2 = v2 * time2

Given that the distance covered by the first cyclist is 1.25 times greater than the distance covered by the second cyclist, we can write: distance1 = 1.25 * distance2

We are also given that the cyclists meet after 2 hours, so we have: time1 = time2 = 2 hours

Substituting the values, we can rewrite the equations as: v1 * 2 = 1.25 * v2 * 2

Simplifying the equation, we get: v1 = 1.25 * v2

Now, we can solve the equations to find the speeds of both cyclists.

Calculation

Let's substitute the value of v1 in terms of v2 into the equation: 1.25 * v2 = 1.25 * v2

Therefore, the speed of the first cyclist (v1) is equal to the speed of the second cyclist (v2).

Answer

The speed of the first cyclist is equal to the speed of the second cyclist.