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n a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by:

Question

n a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by:

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Solution

In a 100m race, A beats B by 10m. This means B runs 90m when A runs 100m.

Similarly, A beats C by 13m. This means C runs 87m when A runs 100m.

So, when B runs 90m, C runs 87m.

Now, we need to find out how much B will beat C in a 180m race.

First, we find out how much distance C covers when B runs 180m.

If B's 90m = C's 87m, Then, B's 180m = C's (87/90)*180 = 174m.

So, in a 180m race, B will beat C by (180-174) = 6m.

This problem has been solved

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