Question: The distance between two points is 200 m. two people start from a point and run towards the other point. one person is 7.2 kmph faster than the other, and reaches the other point 5 s earlier. what are their speeds?
Solution: Let the speed of the slower person be v. Then, the speed of the faster person is v + 7.2 kmph = 1.2 m/s faster. The time taken by the slower person to reach the other point is 200 / v seconds. The time taken by the faster person to reach the other point is 200 / (v + 1.2) seconds. Since the faster person reaches the other point 5 seconds earlier, we have: 200 / v - 200 / (v + 1.2) = 5 Solving for v, we get v = 4 m/s. Therefore, the speeds of the two people are 4 m/s and 5.2 m/s. Converting m/s to kmph, we get the speeds as 14.4 kmph and 18.4 kmph.