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K can lay Highway road between two cities in 16 days. L can do the same job in 12 days. With the help of M, they completes the job in 4 days. How much days does it take for M alone to complete the work ?

Correct Answer: 48/5 days

Explanation:

Amount of work K can do in 1 day = 1/16


Amount of work L can do in 1 day = 1/12


Amount of work K, L and M can together do in 1 day = 1/4


Amount of work M can do in 1 day = 1/4 - (1/16 + 1/12) = 3/16 – 1/12 = 5/48


=> Hence M can do the job on 48/5 days = 9 (3/5) days  


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