Tim is thrice as good a workman as Joya and together they finish a piece of work in 75 days. In how many days will Tim alone finish the work?
Answer & explanation
Correct answer: option 2
According to the question,
Tim is thrice as good a workman as Joya, therefore,
⇒ Tim : Joya = 3 : 1 (Efficiency)
⇒ Tim + Joys complete a work in 75 days = (3 + 1) x 75 = 300 days, ..(Efficiency × Days = Total work)
⇒ Time required by Tim alone to complete total work = \(\frac{300}{3}\) = 100 days, ..(\(\frac{Work}{Efficiency}\) = Time)