Question

Два мотоциклиста выехали из двух населенных пунктов навстречу друг другу первый ехал со скоростью 45 км ч через 2 часа встретил 2 второй Мотоциклист ехал До встречи 3:00 Какова скорость второго мотоциклиста если расстояние между населенными пунктами 216 километров

Answer 1

Problem Analysis

We are given that two motorcyclists start from two different towns and travel towards each other. The first motorcyclist travels at a speed of 45 km/h and after 2 hours, they meet the second motorcyclist. We are asked to find the speed of the second motorcyclist, given that the distance between the towns is 216 kilometers.

Solution

Let's break down the problem and find a solution step by step.

1. We know that the first motorcyclist travels at a speed of 45 km/h. After 2 hours, they meet the second motorcyclist. This means that the first motorcyclist has covered a distance of 45 km/h * 2 hours = 90 kilometers.

2. The total distance between the two towns is given as 216 kilometers. Since the first motorcyclist has already covered 90 kilometers, the remaining distance between the two motorcyclists is 216 kilometers - 90 kilometers = 126 kilometers.

3. Now, let's calculate the time it takes for the second motorcyclist to cover the remaining distance of 126 kilometers. We can use the formula: time = distance / speed.

Let's assume the speed of the second motorcyclist is x km/h. Therefore, the time taken by the second motorcyclist to cover the remaining distance is 126 kilometers / x km/h.

4. We are given that the second motorcyclist reaches the meeting point at 3:00. We can use this information to calculate the time taken by the second motorcyclist.

The first motorcyclist started 2 hours earlier, so the second motorcyclist took 3:00 - 2 hours = 1:00 to reach the meeting point.

5. Now, we can set up an equation using the time taken by the second motorcyclist:

126 kilometers / x km/h = 1 hour

Solving this equation will give us the speed of the second motorcyclist.

Calculation

Let's solve the equation to find the speed of the second motorcyclist.

126 kilometers / x km/h = 1 hour

To solve for x, we can multiply both sides of the equation by x:

126 kilometers = 1 hour * x km/h

Simplifying the equation:

126 kilometers = x km/h

Therefore, the speed of the second motorcyclist is 126 km/h.

Answer

The speed of the second motorcyclist is 126 km/h.

Note: The sources provided by You.com are not relevant to this problem and do not provide any useful information for solving it.