Multiple choice general knowledge math & puzzles

In a 100m race A beats B by 5 meters.In another 100m race B beats C by 5 meters.By hw much will A beat C in a race of same distance.

  1. 9.25 meters

  2. 10 meters

  3. 9.75 meters

  4. 20 meters
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

When A runs 100m, B runs 95m. When B runs 100m, C runs 95m. Thus, the ratio of their speeds is $v_A/v_B = 100/95$ and $v_B/v_C = 100/95$. This gives $v_A/v_C = (100/95) \times (100/95) = 10000/9025 = 100/90.25. When A reaches 100m, C will have run 90.25m, meaning A beats C by $100 - 90.25 = 9.75$ meters.

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