To complete a work, Aditi takes 60 % more time than Bimla. If both of them work together, they take 16 days to complete the work. How much time shall Bimla take to do it alone?
To complete a work, Aditi takes 60 % more time than Bimla. If both of them work together, they take 16 days to complete the work. How much time shall Bimla take to do it alone?
Solution
Let Bimla take days to complete the work alone.
Aditi takes 60% more time than Bimla:
Aditi takes days
If someone completes work in days, their work rate per day
Bimla's work rate
Aditi's work rate
When working together, the combined work rate equals the sum of individual rates.
They complete the work together in 16 days, so combined work rate
Simplifying the left side:
Since , we have
Cross multiplying:
Therefore, Bimla takes 26 days to complete the work alone.
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