Anita and shina can complete a work together in 60 days. if shina is thrice as efficient as anita, then how many days anita will take to complete the work alone
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I think answer is 240.
Answered by
1
Heya
Let the number of days taken by Anita to complete the work be X days and Sheena be x/3 days
Work done by Anita in one day will be 1/x
Work done by Sheena in one day will be 1/(x/3) = 3/x
Work completed by both of them together in one day is 1/60
According to the problem
1/x + 3/x = 1/60
(1+3)/x = 1/60
x= 60×4
x=240
So Anita takes 240 days to complete the work alone
Let the number of days taken by Anita to complete the work be X days and Sheena be x/3 days
Work done by Anita in one day will be 1/x
Work done by Sheena in one day will be 1/(x/3) = 3/x
Work completed by both of them together in one day is 1/60
According to the problem
1/x + 3/x = 1/60
(1+3)/x = 1/60
x= 60×4
x=240
So Anita takes 240 days to complete the work alone
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