Question

1. If 12 men or 18 women can complete a piece
of work in 7 days, in how many days can 4 men
and 8 women complete the same work?​

Answer 1

Answer:

They will complete work in 9 days

Step-by-step explanation:

Consider,

• m = unit work done by men per day.
• w = unit work done by women per day.

Then unitary method ,

12m × 7 = 18w × 7    {same work}

⇒ 84m = 126w

⇒ m/w =2/3   {efficacy of men and women to complete a work in a day}

Total work which to complete is 12×2×7.

Time taken by 8 men and 16 women is = total work/their per day work

So,

12×2×7/(4×2+8×3)

⇒ (36×14)/(56)

⇒ 504/56

⇒ 9 days

They will complete work in 9 days.