LIC AAO Model Paper 3

More men, less days (Indirect)
Less hrs/day, more days (Indirect)
Less efficiency, more days (Indirect)
Men 12 : 9
Hrs/day 6 : $\frac{15}{2}$
Efficiency $\frac{1}{2}$ : $\frac{1}{3}$
⇒ 1 : 20 : x
∴ 12 × 6 × $\frac{1}{2}$ × x = 9 × $\frac{15}{2}$ × $\frac{1}{3}$ × 20
⇒ x = $\frac{9\times 15\times 2\times 20}{2\times 3\times 12\times 6}$
= $\frac{25}{2}$ = 12 $\frac{1}{2}$
∴ Required number of days = 12 $\frac{1}{2}$