Question
Download Solution PDFX and Y can complete a work in 12 days and 18 days respectively. They started doing the work together but after 4 days Y had to leave and X alone completed the remaining work. In how many days was the whole work completed?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
X can complete the work in 12 days.
Y can complete the work in 18 days.
X and Y work together for 4 days.
Calculation:
| Time taken | Total work | Efficiency | |
| X | 12 | 36 | 3 |
| Y | 18 | 2 |
Efficiency of (X + Y) = 3 + 2 = 5
Since they both work together for 4 days,
So,
Work done by both in the 4 days
⇒ 4 × 5 = 20 units
So, Remaining work = 36 - 20 = 16
Now,
Time required to do remaining work by X = 16/3 days
So, total time to complete the work = 4 + 16/3 = 28/3 days
∴ The correct answer is option (1).
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