A can give B 40 m and C 82 m in a 880 m race while B can

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A can give B 40 m and C 82 m in a 880 m race while B can give C 9 seconds over the post, find the time C takes to run 880 m.

1. 3.25 min.
2. 3 min.
3. 4 min.
4. None of these

Correct Option: B

If A runs 880 meter then B runs 840 meters and C runs 798 meters.
∵ B runs 840 m while C 798 m
∴ B runs 880 m while C 798 * 880 / 840 = 836 m
Now, 880 – 836 = 44 m
Hence, C runs 44 m in 9 seconds
∴ C runs 880 m in 9 * 880 / 44 = 180 sec. = 3 min.