Multiple choice

Manju takes 16 days to complete a piece of 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

  5. NA
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A Correct answer
Explanation

Manju's rate is 1/16 per day. Combined rate is 1/12 per day. Jenny's rate = (1/12) - (1/16) = (4-3)/48 = 1/48. Thus, Jenny takes 48 days.

AI explanation

Using the LCM method to solve this time and work problem, let the total work be the least common multiple of 16 and 12, which is 48 units. Manju's efficiency is 48 divided by 16, equaling 3 units per day, and their combined efficiency is 48 divided by 12, equaling 4 units per day. Jenny's daily efficiency is the difference between the combined and individual efficiencies, which is 4 minus 3, equaling 1 unit per day. Dividing the 48 total units by Jenny's 1 unit per day yields 48 days for her to complete the work alone.

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