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In a 1000 m race P beats Q by 100 m and in the same race Q beats R by 200 m. By what distance does P beat R?

Solution

✅ Correct Option: 2

When P finishes 1000 m, Q is at 900 m. Q beats R by 200 m means R/Q=800/1000=4/5R/Q = 800/1000 = 4/5. When Q is at 900 m, R is at 45×900=720\frac{4}{5} \times 900 = 720 m. So P beats R by 1000−720=2801000 - 720 = 280 m.

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