Question : In a company, a piece of work can be completed in 4, 6 and 18 days alone by R, S and T, respectively. In how many days will the work be completed if they work together? (Rounded off to 2 decimal places)
Option 1: 3.32
Option 2: 2.12
Option 3: 2.42
Option 4: 3.21
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Correct Answer: 2.12
Solution :
In a company, the time taken by R, S and T to complete the work is 4, 6, and 8 days.
Efficiency of R = $\frac{1}4$
Efficiency of S = $\frac{1}6$
Efficiency of T = $\frac{1}{18}$
$\therefore$ Total efficiency
= $\frac{1}4+\frac{1}6+\frac{1}{18}$
= $\frac{9+6+2}{36}$
= $\frac{17}{36}$
So, time taken = $\frac{36}{17}$ = 2.12 days
Hence, the correct answer is 2.12.
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