Suman and Lata working together can complete a task in 8 days. If Lata can complete the same task in 12 days, then how many days will Suman take to complete the same task?

24

Suman + Lata = 8 days, 

Lata = 12 days,

⇒ Suman + Lata = 3,   (Efficiency)

⇒ Suman + 2 = 3,

⇒ Suman = 1,

⇒ Time required by Suman to complete the work alone = \(\frac{24}{1}\) = 24 days,   ..(\(\frac{Work}{Efficiency}\) = Time)