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15 days
Step-by-step explanation:
Time taken by A, B and C to plough the field together = 4 days
Time taken by A to plough the field = 12 days.
Time taken by B to plough the field = 10 days.
∴ A, B and C's 1 days' work = A's 1/12 B's 1/10 1 days' work = 1
Now, C's 1 days' work = (A, B and C's 1 days' work) - (A and B's 1 days' work)
= 1/4 − (1/12 + 1/10) = 11/60
= 1/4 - 11/60 = 1/15
Hence, C can plough the field in 15 days.
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