Question : Anuj's efficiency is 150 percent of Vinod's efficiency. If Anuj can complete a work in 20 days, then how many days will they together take to complete the same work?
Option 1: 6 days
Option 2: 9 days
Option 3: 15 days
Option 4: 12 days
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Correct Answer: 12 days
Solution :
Let Vinod's efficiency be $x$
Let the total time taken by them to complete the work = $t$ days
Anuj's efficiency = $\frac{3}{2}x$
Number of days taken by Anuj to complete the work = 20 days
Total work = Efficiency × Time
Now, $20\times \frac{3}2x=t\times (\frac{3}{2}x+x)$
⇒ $t=12$ days
Hence, the correct answer is 12 days.
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