Mathematics · Time and Work
Analyze the three quantities given below: Quantity I: P, Q, and R alone can complete a work in 15 days, 20 days, and 'x+4' days respectively. R and Q start the work together and work for 8 days. They leave, and P finishes the remaining work in 7 days. Find the value of x. Quantity II: The time taken by A and C together to complete a work is 607 days. B can complete the work alone in 30 days. A and B together complete the work in y days, which is 3 days less than the number of days taken by C alone. Find the value of y. Quantity III: I, J, and K together can complete a work in 7213 days. The ratio of the number of days taken by I alone to J alone is 3:4. J and K together complete the work in 8 days. Find the number of days in which I alone can complete the work. Identify the correct relationship between Quantity I, Quantity II, and Quantity III.
- 1Quantity I < Quantity II < Quantity III
- 2Quantity I > Quantity II > Quantity III✓
- 3Quantity I > Quantity II = Quantity III
- 4Quantity I > Quantity II < Quantity III
Correct answer
Quantity I > Quantity II > Quantity III
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