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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


Team Careers360 11th Jan, 2024
Answer (1)
Team Careers360 13th Jan, 2024

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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