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Manju takes 16 days to complete a work. If she works with her friend Jenny they complete it in 12 days. How many days will it take for Jenny to complete the work alone?
- A48
- B32
- C36
- D24
Answer not set
Discussion 1
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CCommunity
Time taken by Manju alone to complete the work = 16 days
Time taken by Manju and Jenny to complete the work when they work together = 12 days
Total work = L. C. M of 16 and 12 = 48 units
One day work of Manju = 48 ÷ 16 = 3 units
One day work of Manju and Jenny = 48 ÷ 12 = 4 units
∴ one day work of Jenny = 1 unit
Time taken by Jenny alone to complete the work = 48 ÷ 1 = 48 days
Time taken by Manju and Jenny to complete the work when they work together = 12 days
Total work = L. C. M of 16 and 12 = 48 units
One day work of Manju = 48 ÷ 16 = 3 units
One day work of Manju and Jenny = 48 ÷ 12 = 4 units
∴ one day work of Jenny = 1 unit
Time taken by Jenny alone to complete the work = 48 ÷ 1 = 48 days