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Two runners running around a circular track at the speed of 25 and 15kmph. When will the cross each other for the second time, if the length of the circular track is 300m?Question 4Answera.50 secb.54 ssecc.36 secd.None of these

Question

Two runners running around a circular track at the speed of 25 and 15kmph. When will the cross each other for the second time, if the length of the circular track is 300m?Question 4Answera.50 secb.54 ssecc.36 secd.None of these

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Solution

To solve this problem, we need to understand that the runners will meet each other when one of them completes one more lap than the other.

Step 1: Convert the speed from km/h to m/s Speed of runner 1 = 25 km/h = 25 * 1000/3600 = 6.94 m/s Speed of runner 2 = 15 km/h = 15 * 1000/3600 = 4.17 m/s

Step 2: Calculate the relative speed The relative speed of the two runners = Speed of runner 1 - Speed of runner 2 = 6.94 m/s - 4.17 m/s = 2.77 m/s

Step 3: Calculate the time they meet for the first time The time they meet for the first time = Length of the track / Relative speed = 300 m / 2.77 m/s = 108.3 seconds

Step 4: Calculate the time they meet for the second time The time they meet for the second time = 2 * Time they meet for the first time = 2 * 108.3 seconds = 216.6 seconds

So, the runners will cross each other for the second time after approximately 217 seconds. This option is not given in the choices, so the answer is (d) None of these.

This problem has been solved

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