Two boys start running towards each other from two points, they are 120m apart.One runs with a speed of 5 metre per second and other with a speed of 7 metre per second when and where do they meet each other from first point? Explain

To solve this problem, we'll need to determine how long it takes for the two boys to meet as they run towards each other. Since they are moving from two different points, we can think of their combined speeds and how that affects the distance they need to cover. Let’s break it down step by step.

Understanding the Scenario

We have two boys starting from two points that are 120 meters apart. One boy runs at a speed of 5 meters per second, and the other runs at 7 meters per second. The total distance they need to cover together is 120 meters. We want to find out when and where they meet.

Calculating Combined Speed

First, we calculate their combined speed. When two objects move towards each other, you can simply add their speeds:

• Boy 1's speed: 5 m/s
• Boy 2's speed: 7 m/s
• Combined speed: 5 m/s + 7 m/s = 12 m/s

Finding Time to Meet

Next, we need to find out how long it will take for them to meet. We can use the formula:

Time = Distance / Speed

Here, the distance is 120 meters, and the combined speed is 12 meters per second:

Time = 120 meters / 12 m/s = 10 seconds

Determining the Meeting Point

Now that we know they will meet after 10 seconds, we can find out how far each boy runs in that time.

• Distance covered by Boy 1: Speed × Time = 5 m/s × 10 s = 50 meters
• Distance covered by Boy 2: Speed × Time = 7 m/s × 10 s = 70 meters

Locating the Meeting Spot

Since Boy 1 starts from the first point and runs 50 meters, he will meet Boy 2 at that point:

Distance from the first point: 50 meters

Summary of Findings

In summary, the two boys will meet after 10 seconds, and they will be 50 meters away from the first boy's starting point. This problem illustrates how relative motion works and how we can use concepts of speed and distance to find the point of intersection for two moving objects.

Approved