Question
Download Solution PDFA can complete a piece of work in 14 days, while A and B together can complete it in 3\( 1\over2\) days. How long will B alone take to complete it?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A can complete the work = 14 days
(A + B) can complete the work = 7/2 days
Formula used:
Total work = efficiency × time
Calculation:
Efficiency | Person | Time | Total work |
1 | A | 14 | 14 |
4 | (A +B) | (7/2) |
Now,
Efficiency of B = (4 - 1) = 3 units/day
Time taken to complete the work alone = 14/3 days.
∴ The correct answer is 14/3 days.
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