Sita can finish typing a 100 page document in 9 hours, Mita in 6 hours and Rita in12 hours. How long will they take to type a 100 page document if they worktogether?
The given details are,
Work done by Sita in 1 hour = 1/9Work done by Mita in 1 hour = 1/6
Work done by Rita in 1 hour = 1/12
Work done by Sita, Mita and Rita together in 1 hour = 1/9 + 1/6 + 1/12
= (4+6+3)/36 (by taking LCM for 9, 6 and 12
which is 36)
= 13/36
∴ Time taken by all three together to complete the work = 1/(13/36) = 36/13 hours.
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