Question : In a 100 m race, A beats B by 10 m. In a 100 m race, B beats C by 10 m. By what distance will A beat C in a 100 m race?
Option 1: 19 m
Option 2: 21 m
Option 3: 18 m
Option 4: 20 m
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Correct Answer: 19 m
Solution :
In the first 100 m race, A beats B by 10 m. This means when A runs 100 m, B runs 90 m.
In the second 100 m race, B beats C by 10 m. So when B runs 100 m, C runs 90 m.
Therefore, when A runs 100 m, B runs 90 m and in that time, C runs only 90% of that distance.
So, when B runs 90 m, C runs = 90 × $\frac{90}{100}$ = 81
So, in a 100 m race, A will beat C by 19 m.
Hence, the correct answer is 19 m.
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