Question

Из одного города в другой выехали два мотоциклиста, расстояние между которыми 93 км. Скорость второго мотоциклиста на 3 км/ч больше, чем скорость первого. Мотоциклисты встретились на расстоянии 45 км от первого города. Найдите скорость каждого мотоциклиста.

Answer 1

Вот .смотри решение:)

Answer 2

Problem Analysis

We are given that two motorcyclists start from one city and meet at a certain distance from the first city. The distance between them is 93 km, and the second motorcyclist's speed is 3 km/h faster than the first motorcyclist's speed. We need to find the speed of each motorcyclist.

Solution

Let's assume the speed of the first motorcyclist is x km/h. Then the speed of the second motorcyclist will be x + 3 km/h.

We know that the total distance between the two motorcyclists is 93 km. They meet at a distance of 45 km from the first city. This means that the first motorcyclist has traveled 45 km, and the second motorcyclist has traveled 93 - 45 = 48 km.

We can use the formula distance = speed × time to find the time taken by each motorcyclist.

For the first motorcyclist: 45 = x × t1, where t1 is the time taken by the first motorcyclist.

For the second motorcyclist: 48 = (x + 3) × t2, where t2 is the time taken by the second motorcyclist.

We can solve these two equations to find the values of x, t1, and t2.

Calculation

Let's solve the equations:

From the first equation, we have: t1 = 45 / x

From the second equation, we have: t2 = 48 / (x + 3)

Since the total time taken by both motorcyclists is the same, we can equate t1 and t2:

45 / x = 48 / (x + 3)

Cross-multiplying, we get: 45(x + 3) = 48x

Expanding and simplifying, we get: 45x + 135 = 48x

Subtracting 45x from both sides, we get: 135 = 3x

Dividing both sides by 3, we get: x = 45

So, the speed of the first motorcyclist is 45 km/h, and the speed of the second motorcyclist is 45 + 3 = 48 km/h.

Answer

The speed of the first motorcyclist is 45 km/h, and the speed of the second motorcyclist is 48 km/h.