Pia and Ria can complete a project together in 26 days. Pia alone can complete the project in 78 days. They start working together but Pia leaves after 12 days. In how many days can Ria complete the remaining work of the project?
Answer & explanation
Correct answer: option 1
Pia + Riya = 26 days,
Pia = 78 days,
⇒ Pia + Ria = 3, (Efficiency)
⇒ 1 + Ria = 3,
⇒ Ria = 2,
⇒ They both worked for 12 days and then Pia left = (1+2) x 12 = 3 x 12 = 36 units, ..(Efficiency × Days = Total work)
⇒ Remaining work = 78 - 36 = 42 units,
⇒ Time required by Ria to complete the remaining work = \(\frac{42}{2}\) = 21 days, ..(\(\frac{Work}{Efficiency}\) = Time)