13. Finding the Time When the Second Mobile Will be at the Same Distance

When will the second mobile be at the same distance from the other two mobiles?

The second mobile will be at the same distance from the other two at 1 p.m.

Understanding Relative Speed

Relative speed is a concept that is used to calculate the speed of an object in relation to another moving object. In this scenario, we have three mobiles moving at different speeds - 40 Km/h, 45 Km/h, and 50 Km/h. The question asks us to find the time when the second mobile will be at the same distance from the other two mobiles. To solve this problem, we need to understand that when two objects are moving towards each other, their relative speed is the sum of their individual speeds. On the other hand, when two objects are moving in the same direction, their relative speed is the difference between their individual speeds. In this case, we are looking for the time when the second mobile will be at the same distance from the first and third mobiles. Let's assume that the second mobile reaches this point at time 't'. At this time, the first mobile would have covered a distance of 40*t km, and the third mobile would have covered a distance of 50*(t-1) km, as it started one hour earlier. To find the time when the second mobile will be at the same distance from the other two, we can set up the equation: 40*t = 50*(t-1), since they will be at the same distance at this point. Solving this equation gives us 't = 5'. Therefore, the second mobile will be at the same distance from the first and third mobiles at 1 p.m. This problem showcases the application of relative speed in determining the meeting point of moving objects traveling at different speeds. Understanding this concept can help in solving similar problems involving multiple moving objects.
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