Exams › IBPS PO › Quantitative Aptitude
A can complete a task in 18 days, B can complete the same task in 24 days, and C can destroy the whole work in 36 days. If A and B work together for the first x days, and then C also joins them, the remaining work is completed in \(x + 4\tfrac{4}{5}\) days. Find for how many days all three worked together.
- 6 4/5 days
- 5 4/5 days
- 4 4/5 days
- 7 4/5 days
Correct answer: 5 4/5 days
Solution
A’s rate is 1/18, B’s rate is 1/24, and C’s rate is -1/36. Let the first phase be x days and the second phase be x + 4\(\tfrac{4}{5}\) days. Solving the total work equation gives x = 5\(\tfrac{4}{5}\) days, which is the time all three worked together.
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