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Anil beats Shyam by 20 m in a 100 m race. If the speed of Shyam is 16km/h then how much time Anil takes to cover 10km distance?

Question

Anil beats Shyam by 20 m in a 100 m race. If the speed of Shyam is 16km/h then how much time Anil takes to cover 10km distance?

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Solution

Sure, let's solve this step by step:

  1. First, we need to convert Shyam's speed from km/h to m/s because the race distance is given in meters. We know that 1 km = 1000 m and 1 hour = 3600 seconds. So, 16 km/h = 16 * 1000 / 3600 = 4.44 m/s.

  2. Now, we know that Anil beats Shyam by 20 m in a 100 m race. This means that when Anil runs 100 m, Shyam runs 80 m. So, the speed of Anil = (Speed of Shyam) * (Distance covered by Anil / Distance covered by Shyam) = 4.44 * (100 / 80) = 5.55 m/s.

  3. We need to find out how much time Anil takes to cover 10 km. First, let's convert 10 km to meters. So, 10 km = 10 * 1000 = 10000 m.

  4. Time = Distance / Speed. So, the time taken by Anil to cover 10 km = 10000 / 5.55 = 1801.80 seconds.

  5. To convert seconds into minutes, divide by 60. So, 1801.80 seconds = 1801.80 / 60 = 30.03 minutes.

So, Anil takes approximately 30 minutes to cover a distance of 10 km.

This problem has been solved

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