Question
Download Solution PDFA and B can do a piece of work in 5 days and 10 days, respectively. They began the work together but A left after some days and B finished the remaining work in 8 days. After how many days did A leave?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A can do a piece of work = 5 days
B can do a piece of work = 10 days.
Formula used:
Total work = efficiency × time
Calculation:
Let the number of days work together by (A + B) = D
| Efficiency | Person | Time | Total work |
| 2 | A | 5 | 10 |
| 1 | B | 10 |
According to the question:
⇒ (A + B) × D + B × 8 = 10
⇒ (2 + 1) × D + 1 × 8 = 10
⇒ 3 × D = (10 - 8)
⇒ D = 2/3 days
∴ The correct answer is 2/3 days.
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