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Question

An intern can do a job in 15 days. The manager and senior manager are busy with other priorities and thus take 25 and 40 days respectively to complete the task. How long will they take to finish the task if all of them work together?


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Solution

Given,

An intern can do a job in 15 days.

Intern's one day work =115

The manager can do a job in 25 days.

The manager's one day work =125

The senior manager can do a job in 40 days.

Senior manager's one day work =140

If all of them will work together, their one day work =115+125+140

=40+24+15600=79600 (LCM of 15, 25, 40 is 600)

Number of days to finish the work =1Oneday'swork

=179600=60079=74779

Therefore, all of them will do the work together in 74779 days.


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