A sum of money is sufficient to pay A's wages for 21 days and B's wages for 28 days. The same money is sufficient to pay the wages of both for?

241/2 days
12 days
121/4 days
14 days

Correct Answer: 12 days

Explanation:

A's 1 day's work = 1/21
B's day's work = 1/28
∴ Same money is sufficient to pay the wages of both for
= 1 / [(1/21) + (1/28)] = (21 x 28) / (21 + 28)
= (21 x 28) / 49
= 3 x 4 = 12 days

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