Equating the total work ⇒(12w+16m)×5=(13w+24m)×4 ⇒60w+80m=52w+96m ⇒(60w−52w)=(96m−80m) ⇒8w=16m ⇒
w
m
=
2
1
⇒w=2 unit ∕ day ,m=1 unit ∕ day ⇒ Total work =(12w+16m)×5 ⇒(12×2+16×1)×5 ⇒ Total work =200 unit Now, the efficiency of 25 women and 50 men ⇒(25×2+50×1)=100 units ∕ day ⇒ Time to complete 200 unit work =200∕100=2 days. ∴ The required time is 2 days.