Question
Download Solution PDFX and Y can complete a work in 9 days and 36 days, respectively. X begins to do the work and they work alternately one at a time for one day each. The whole work will be complete in:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
X and Y can complete a work in 9 days and 36 days, respectively.
Formula used:
Work = Efficiency × Time
Calculation:
Total work = LCM of (9, 36)
Total work = 36 unit
The efficiency of X = 36/9 = 4 unit/day
The efficiency of Y= 36/36 = 1unit/day
A and B work alternatively, starting with A, then
5 units of work is done in 2 days by both of them.
= (5 × 7)unit → (2 × 7)days
In 14 days the work done by both = 35 units
The remaining work is 1 unit, which will be done by X in = 1/4
Total time taken = 14 + 1/4
The whole work will be completed in 14(1/4) days.
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