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?
1). 48
2). 32
3). 36
4). 24
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