To complete a wall, X takes 50 percent more time than Y. If together they complete the wall in 15 days, then how much time will X alone take to complete it?
Answer & explanation
Correct answer: option 3
Given,
X takes 50 percent more time than Y.
Efficiency α \(\frac{1}{Time}\)
Therefore,
⇒ X : Y = 2 : 3 (Efficiency)
⇒ X + Y completes a work in 15 days =(2 + 3) x 15 = 75 units. ..(Efficiency × Days = Total work)
⇒ Time required by X to complete the work alone = \(\frac{75}{2}\) = 37.5 days. ..(\(\frac{Work}{Efficiency}\) = Time)