Question : Babita is 1.25 times as efficient as Deepak. Working together, they can complete a piece of work in 40 days. In how many days can Deepak alone complete the same piece of work?
Option 1: 84
Option 2: 90
Option 3: 96
Option 4: 100
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Correct Answer: 90
Solution : Given: Babita is 1.25 times as efficient as Deepak. They both can complete work in 40 days. Let the efficiency of Deepak be $x$ Efficiency of Babita $= 1.25x$ Effective efficiency $= x+1.25x = 2.25x$ Total work = Efficiency $×$ Time $= 2.25x × 40 = 90x$ Work done by Deepak with efficiency of $x = \frac {90x}{x} = 90$ days Hence, the correct answer is 90.
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