Sita can Finish 100 page document in 9 hours,mita in 6 hours and ritu in 12 hours. How long will they take to type a 100 page document if they work together.is this a direct or inverse variation?
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Answer:
Wor done by sita=1/9
mita=1/6
ritu =1/12
L. C. M = 36
=4+6+3/36 =13/36
Answered by
1
The given details are, Work done by Sita in 1 hour = 1/9 Work 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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