Question

4 men or 6 women can complete a task in 16 days. If the work is done by 2 men and 9 women, how long will it take to complete the work?​

Answer 1

Answer:

⇒4M*16=6W*16 (since it is given that 4 men OR 6 women do a piece of work in 16 days and we are requested to find amount of work done by M(Men) and W(Women) in 1 day.

⇒2M=3W

⇒M/W = 3/2 unit of work done by M and W in 1 day respectively. (M=3,W=2)

• Total work = put the value of M or W in 4M*16 or 6W*16.
• 4*3 *16 = 192
• Now equate 2 men and 9 women as 2M+9W= 2*3+9*2=24.
• Divide 192 by 24. You’ll get your answer as 8.
• Therefore 2 men and 9 women takes 8 days to do the same work.

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