Question
Download Solution PDFA and B alone can do a piece of work in 4 and 9 days, respectively. In how many days will the work be completed, if they both work on alternate days, starting with B?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A can do a piece of work = 4 days
B can do a piece of work = 9 days
Formula used:
Total work = efficiency × time
Calculation:
| Efficiency | Person | Time | Total work |
| 9 | A | 4 | 36 |
| 4 | B | 9 |
Now,
(B + A) = 4 + 9 = 13 units = 2 days
⇒ (13 × 2) = 26 units = (2 × 2) = 4 days
⇒ 30 units = 5 days
⇒ 36 units = 5 + (6/9) = 5\(2\over3\) days
∴ The correct answer is 5\(2\over3\) days.
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