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A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is:*A. 5.5 kmphB. 4.14 kmphC. 4.25 kmphD. 4.4 kmph

Question

A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is:*A. 5.5 kmphB. 4.14 kmphC. 4.25 kmphD. 4.4 kmph

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Solution

To solve this problem, we first need to convert the speed of A from km/h to m/s because the distance is given in meters and the time in seconds. We know that 1 km = 1000 m and 1 hour = 3600 seconds. So, 5 km/h = 5 * 1000 / 3600 = 1.39 m/s.

Now, let's calculate the time it takes for A to run 100 m. Time = Distance / Speed, so Time = 100 / 1.39 = 71.94 seconds.

According to the problem, A beats B by 8 seconds. So, the time it takes for B to run 100 m is 71.94 + 8 = 79.94 seconds.

However, B starts 8 m ahead of A, so B only runs 92 m in the time it takes A to run 100 m.

Now, let's calculate the speed of B. Speed = Distance / Time, so Speed = 92 / 79.94 = 1.15 m/s.

Finally, let's convert the speed of B from m/s to km/h. We know that 1 m/s = 3.6 km/h. So, 1.15 m/s = 1.15 * 3.6 = 4.14 km/h.

So, the speed of B is 4.14 km/h. The correct answer is B. 4.14 kmph.

This problem has been solved

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