Question

Из двух сел расстояние между которыми 90 км одновременно навстречу друг другу выехали велосипедист и мотоциклист через два часа они встретились найдите скорость мотоциклиста если известного что она в 2 раза больше скорости велосипедиста

Answer 1

Пусть скорость велосипедиста - х
Тогда скорость мотоциклиста - 2х
х+2х=90
3х=90
х=90:3
х=30(км/ч)-скорость веловипедиста
30*2=60(км/ч)
Ответ: скорость мотоциклиста- 60 км/ч

Answer 2

Problem Analysis

We are given that two villages are 90 km apart. A cyclist and a motorcyclist simultaneously start traveling towards each other from these two villages. After two hours, they meet each other. We need to find the speed of the motorcyclist, given that it is twice the speed of the cyclist.

Solution

Let's assume the speed of the cyclist is x km/h. According to the problem, the speed of the motorcyclist is twice the speed of the cyclist, so the speed of the motorcyclist is 2x km/h.

We know that distance = speed × time. After two hours, the cyclist and the motorcyclist meet each other. The total distance traveled by both of them is equal to the distance between the two villages, which is 90 km.

The distance traveled by the cyclist in two hours is 2x km/h × 2 h = 4x km.

The distance traveled by the motorcyclist in two hours is 2x km/h × 2 h = 4x km.

Since they meet each other, the sum of their distances traveled should be equal to the distance between the two villages:

4x km + 4x km = 90 km

Simplifying the equation:

8x km = 90 km

To find the value of x, we divide both sides of the equation by 8:

x = 90 km / 8 = 11.25 km/h

Therefore, the speed of the cyclist is 11.25 km/h.

Since the speed of the motorcyclist is twice the speed of the cyclist, the speed of the motorcyclist is:

2 × 11.25 km/h = 22.5 km/h.

Answer

The speed of the motorcyclist is 22.5 km/h.