In a 1,000-meter race, runner A can give B a 100-meter head start and C a 200-meter head start. What distance advantage can B provide to C in the same race?

Explanation

Since A runs 1,000 meters while B runs 900 meters and C runs 800 meters, when B completes 1,000 meters, C covers (1000 × 800) / 900 = 888.88 meters. Therefore, B can give C a head start of 1,000 - 888.88 = 111.12 meters.