Multiple choice general knowledge math & puzzles

In a race of 200 meters, A beats S by 20 meters and N by 40 metres. If S and N are running a race of 100 metres with exactly the same speed as before, then by how many metres will S beat N?

  1. 11.11 metres

  2. 10 metres

  3. 12 metres

  4. 25 metres
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

In a 200m race, A runs 200m while S runs 180m and N runs 160m. The ratio of speeds of S to N is 180/160 = 9/8. In a 100m race, S runs 100m while N runs 100 * (8/9) = 88.89m. Thus, S beats N by 100 - 88.89 = 11.11 metres.

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