Mujahid can do a work in 8 days while his colleagues Asad takes 12 days and Mithun takes 16 days to complete the same Mujahid and Asad started the work and after few days Asad left the work keeping it incomplete. Rest of the work was completed by Mujahid and Mithun in 2 days How long it took to complete the whole work ? 

A  4 days 

B  5 days 

C  6 days 

D  8 days 

Solution

Correct Answer: Option B

 Solution:   

                 M+M = 2 days = 3/8 

                 M+A total work = \(\frac{{8 \times 12}}{{8 + 12}} = \frac{{24}}{5}\)  

                Left = 5/8 is done  \(\frac{{24}}{5} \times \frac{5}{8}\) = 3 

              Total days = 3+2 = 5 days. 

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