Multiple choice general knowledge math & puzzles

In a race of 100 meters A beat B by 5 meters. In another similar race B beat C by 5 meters.So by how much distance will A beat C in a 100 meter race?

  1. 20

  2. 10

  3. 9.75

  4. 9.25
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

When A beats B by 5 meters, B runs 95 meters when A finishes 100 meters, so B's speed is 95% of A's speed. When B beats C by 5 meters, C runs 95 meters when B finishes 100 meters, so C's speed is 95% of B's speed. Therefore, C's speed is 0.95 × 0.95 = 0.9025 times A's speed. In a 100m race, when A finishes, C will have run 100 × 0.9025 = 90.25 meters, so A beats C by 9.75 meters.

AI explanation

When A runs 100 m, B has covered only 95 m (A beats B by 5 m). In the B-vs-C race, when B runs 100 m, C covers 95 m, so C's speed is 95% of B's. Scaling that ratio down to the 95 m B covers when A finishes: C covers 95 x 0.95 = 90.25 m, so A finishes 100 - 90.25 = 9.75 m ahead of C.

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