4 men and 2 boys can do a job in 623 days. 3 women and 4 boys can finish the

Question

4 men and 2 boys can do a job in

6 \frac{2}{3}

days. 3 women and 4 boys can finish the same job in 5 days. Also 2 men and 3 women can finish the same job in 4 days. In how many days can 1 man, 1 woman and 1 boy finish the work at their double efficiency___

Answer:
:
In 1 day 4 men and 2 boys can do

[\frac{100}{(\frac{20}{3})}] % = 15 %

of the job. ... (i)
In 1 day 3 women and 4 boys can do

\frac{100}{5} = 20 %

of the job.... (ii)
In 1 day 2 men and 3 women can do

\frac{100}{4} = 25 %

of the job.... (iii)
So, adding (i), (ii), (iii)
6 men, 6 women and 6 boys can do 15 + 20 + 25 =

60 %

of the job in 1 day.
So, 1 man, 1 woman and 1 boys can do

10 %

of the job in a day.
All double their efficiency, they can do

20 %

of the job in a day.
They can complete the job in

\frac{100}{20}

= 5 days.

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