In a 1000 m race A beats B by 100 m and C by 200 m. By how much can B beats C in a race of 1350 m?

If A run 1000 meters then B runs 900 meters and C runs 800 meters.
∴ B runs 1350 meters while C will run 800 * 1350/ 900 = 1200 meters
Hence, B can beat C by (1350 – 1200) = 150 m