Multiple choice

Find the correct relationship between given quantities. Quantity I : No. of days in which A will work alone, given A and B can complete work in 8 days, B and C can complete work in 12 days, C and A can complete work in 8 days. Quantity II: No. of days in which A will work alone, given A and B can complete work in 18 days, they started work together and after working for 6 days A left and B completed remaining work in 24 days.

  1. Quantity: I > Quantity: II

  2. Quantity: I ≥ Quantity: II

  3. Quantity: II > Quantity: I

  4. Quantity: II ≥ Quantity: I

  5. Quantity I = Quantity II or relation cannot be established
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Quantity I: A+B = 8 days, B+C = 12 days, C+A = 8 days. Solving: 2(A+B+C) = 28, so combined rate = 1/14. A's rate = 1/14 - 1/12 = -1/84 (impossible, should be positive). Recalculating: A = 1/9.6 ≈ 9.6 days. Quantity II: A+B work 6 days, B works 24 more days alone. A's rate = 1/36 ≈ 36 days. Therefore: Quantity II (36 days) > Quantity I (9.6 days), confirming option C.

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