8 men and 12 women finish a job in 4 days. While 6 men and 14 women in 5 days. In how many days will 20 women finish the job?
Answer & explanation
Correct answer: option 2
8M + 12W = 4 days,
32M + 48W ..(1) (Multiplied by 4 to get it done in 1 day)
6M + 14W = 5 days,
30M + 70W ..(2) (Multiplied by 5 to get it done in 1 day)
Now, (1) - (2), we get,
⇒ 2M = 22W
⇒ M : W = 22 : 2 = 11 : 1 (Efficiencies)
Putting efficiency in equation (1), and we get the total work
⇒ [32 (11) + 48(1)] = 400 units.
⇒ Hence, 20 Women can finish the job in = \(\frac{400}{20(1)}\) = 20 days.