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n a 100 m race, A can give B 10 m and C 28 m. In the same race B can give C:18 m20 m27 m9 m

Question

n a 100 m race, A can give B 10 m and C 28 m. In the same race B can give C:18 m20 m27 m9 m

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Solution

The problem is about relative speed and distance. Here's how you can solve it:

  1. In a 100 m race, A can give B a 10 m lead. This means that when A runs 100 m, B runs 90 m.

  2. Similarly, A can give C a 28 m lead. This means that when A runs 100 m, C runs 72 m.

  3. Now, we need to find out how much lead B can give C. We know that when A runs 100 m, B runs 90 m and C runs 72 m.

  4. So, when B runs 90 m, C runs 72 m.

  5. We need to find out how much C would run when B runs 100 m. We can set up a proportion to solve this: 90/72 = 100/x. Solving for x gives us x = 80.

  6. Therefore, in a 100 m race, B can give C a 20 m lead.

So, the answer is 20 m.

This problem has been solved

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