If 5 men and 6 women can do a piece of work in 5 days, 3 men and 4 women can do the same work in 8 days, then in how many days can 7 men and 6 women complete the work?

Question

If 5 men and 6 women can do a piece of work in 5 days, 3 men and 4 women can do the same work in 8 days, then in how many days can 7 men and 6 women complete the work? (A) 4 days (B) 6 days (C) 7 days (D) 10 days

Tardigrade Admin · Accepted Answer

Given (5 m+6 w) one day's work =(1/5) (3 m+4 w) text one day's work =(1/8) ⇒(5 m+6 w) 5=(3 m+4 w) 8 25 m+30 w=24 m+32 w m=2 w Required number of days =(25 m+30 w/7 m+6 w) =(25(2 w)+30 w/7(2 w)+6 w)=(80 w/20 w)=4 text days

Q. If 5 men and 6 women can do a piece of work in 5 days, 3 men and 4 women can do the same work in 8 days, then in how many days can 7 men and 6 women complete the work?

4 days

6 days

7 days

10 days

Given (5m+6w) one day's work =51​ (3m+4w) one day’s work =81​ ⇒(5m+6w)5=(3m+4w)8 25m+30w=24m+32w m=2w Required number of days =7m+6w25m+30w​=\frac{25(2 w)+30 w}{7(2 w)+6 w}=\frac{80 w}{20 w}=4 \text { days }$