A, B and C can complete a piece of work in 12, 15 and 20 days respectively. If they work together, what is the ratio of their wages? MCQ with Answer and Explanation
A, B and C can complete a piece of work in 12, 15 and 20 days respectively. If they work together, what is the ratio of their wages?
A. 4 : 5 : 6
B. 5 : 3 : 4
C. 3 : 4 : 5
D. 5 : 4 : 3
Answer: Option D
Solution (By JKSSB Mock Tests)
Wages are distributed in the ratio of their efficiencies. Ratio of time taken = 12 : 15 : 20. Ratio of efficiencies = 1/12 : 1/15 : 1/20. Multiplying by LCM (60), we get 5 : 4 : 3.
Explanation:
12 Men = 18 Women => 1 Man = 1.5 Women. 8 men + 16 women = 8 * 1.5 + 16 = 12 + 16 = 28 women. Since 18 women take 14 days, 28 women will take (18 * 14) / 28 = 252 / 28 = 9 days.
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