The ratio of time taken by Anamika and Bani to complete a work is 1 : 3, respectively. Therefore, Anamika is able to finish a job in 40 days less than Bani. If they work together, they can complete the work in ______ days.
Answer & explanation
Correct answer: option 3
Efficiency α \(\frac{1}{Time}\)
Anamika : Bani
Time 1 : 3
Efficiency 3 : 1
⇒ Anamika is able to finish a job in 40 days less than Bani, therefore
⇒ (3 - 1)T = 40 days
⇒ 2T = 40 days
⇒ T = 20 days.
Therefore time taken by Anamika = 1 x 20 = 20 days,
and by Bani = 3 x 20 = 60 days.
⇒ Total work = 20 x 3 = 60 units. ..(Efficiency × Days = Total work)
⇒ Time taken by both of them to complete the work together = \(\frac{60}{3 + 1}\) = \(\frac{60}{4}\) = 15 days. ..(\(\frac{Work}{Efficiency}\) = Time)