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Wednesday, January 29, 2020

12 men can complete a piece of work in 36 days. 18 women can complete the same piece of work in 60 days. 8 men and 20 women work together for 20 days. If only women were to complete the remaining piece of work in 4 days, how many women would be required ?

12 men can complete a piece of work in 36 days. 18 women can complete the same piece of work in 60 days. 8 men and 20 women work together for 20 days. If only women were to complete the remaining piece of work in 4 days, how many women would be required ?
A70
B28
C66
D40

Answer is : 70

Explanation:

12 men can complete the work in 36 days.

12 × 36 men can complete the work in 1day.

Again, 18 women can complete the work in 60 days.

18 × 60 women can complete the work in1 day.

12 × 36 men = 18 × 60 women

2 men = 5 women

Now, 8 men + 20 women

= (4 × 5 + 20) women = 40 women

18 women complete the work in 60 days.

40 womens’ 20 days’ work

=40×2018×60=2027

 Remaining work = 12027=727

18×60  women do 1 work in 1 day.

 1 woman does =180×60 Work in 1 day

 1 woman does in 4 days

=4180×60=118×15 work

 118×15 work is done in 4 days by 1 woman

727 work is done in 4 days by = 18×15×727

= 70 days

Akilesh Kharvi
answered May 27 '2017 at 16:15

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