Discussion

If X can run 48m and Y 42m, then in a race of 1km, X beats Y by:

Answer: B

In these problems the two runners are compared by the distances they cover in the same time, so their speeds are in the ratio of those distances.

\[ X : Y = 48 : 42 \]

In a 1000 m race X finishes first, and Y has then covered

\[ 1000 \times \frac{42}{48} = 875 \text{ m} \]

\[ \text{X beats Y by } 1000 - 875 = 125 \text{ m} \]

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