If 12 men or 18 women can reap a field in 14 days, then the number of days that 8 men and 16 women will take to reap it is: MCQ with Answer and Explanation
If 12 men or 18 women can reap a field in 14 days, then the number of days that 8 men and 16 women will take to reap it is:
A. 7 days
B. 9 days
C. 10 days
D. 8 days
Answer: Option B
Solution (By JKSSB Mock Tests)
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.
Explanation:
Let efficiency of B = 2, then efficiency of A = 3. Total work = Efficiency of A * Time of A = 3 * 12 = 36 units. Time taken by B = 36 / 2 = 18 days.
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