Question
Download Solution PDFIf A, B and C can do a work in 6 days, 9 days and 11 days, respectively, then, working together, how many days will they take to do the work?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFLet's denote the work rates of A, B, and C as follows
A's work rate = 1/6
B's work rate = 1/9
C's work rate = 1/11
Total work = A's work + B's work + C's work
Total work = (1/6) + (1/9) + (1/11)
⇒ (33/198) + (22/198) + (18/198) = 73 / 198
Time taken to complete the work together = 1 / Total work rate
Time taken = 1 / (73/198)
Time is taken = 198 / 73 = \(2 \frac{52}{73} \)
∴ It would take \(2 \frac{52}{73}\) days for A, B, and C to complete the work together.
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