E and F can do a job in 2 days. If E alone can do the same job in 12 days. How…
2023
E and F can do a job in 2 days. If E alone can do the same job in 12 days. How many days will be taken by F to do the job alone?
- A.
12/8 days
- B.
12 days
- C.
6 days
- D.
12/5 days
Attempted by 85 students.
Show answer & explanation
Correct answer: D
Final answer: 12/5 days
Reasoning:
E's one-day work = 1/12 of the job.
E and F together do the job in 2 days, so their combined one-day work = 1/2 of the job.
F's one-day work = combined one-day work − E's one-day work = (1/2) − (1/12) = 5/12.
Time for F alone = 1 ÷ (5/12) = 12/5 days = 2.4 days.
Therefore, F alone will take 12/5 days to complete the job.