A,B and C can do a work in 20,45 and 120 days respectively.They started the work. A left 10 days before and B left 5 days before the completion of work. In how many days is the total work completed ?
Correct option is (B) 36
Total work done by 24 men in 14 days by working 6 hours a day \(=24\times14\times6\)
Let x men are required to complete same work in 8 days...
Correct option is (D) \(\frac{(a+1)^2}{a+2}\)
Work done by (a+1) works in (a+1) days = (a+1) (a+1)
\(=(a+1)^2\)
Number of days required to complete the same work by (a+2) members \(=\frac{\text{Total work}}{a+2}\)
\(=\frac{(a+1)^2}{a+2}\)
Correct option is (B) 13 1/2
Work done to complete the wall = Work done by 30 labourers in 9 days
= Work done by 20 labourers in x days
\(\therefore 20\times x=30\times9\)
\(\Rightarrow x=\frac{30\times9}{20}=\frac{27}2\,days\) \(=13\frac12\,days\)