A runs **22.5 meters** while B runs **25 meters**. In a **1-kilometer race**, by how many meters does B beat A?

Question

Accepted Answer

The ratio of distances covered by B and A is given as $$ B : A = 25 : 22.5 $$. Simplify this ratio by multiplying both terms by 2 to remove the decimal:

$$
B : A = 50 : 45
$$

Now, scale this ratio to a distance of **1000 meters**, which is the race distance for B:

$$
B : A = (50 	imes 20) : (45 	imes 20) = 1000 : 900
$$

This means that while B covers **1000 meters**, A covers only **900 meters** in the same time. The difference in distances is:

$$
1000 - 900 = 100 \, 	ext{meters}
$$

Thus, in a **1-kilometer race**, B beats A by **100 meters**.

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