Multiple choice

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 II < Quantity I

  2. Quantity II > Quantity I

  3. Quantity II ≤ Quantity I

  4. Quantity II ≥ Quantity I

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

Quantity I: 1/A + 1/B = 1/8, 1/B + 1/C = 1/12, 1/C + 1/A = 1/8. Adding first and third: 2/A + 1/B = 1/4. Subtract second: 2/A - 1/C = 1/6. But 1/A = 1/8 - 1/B, so A alone = 9.6 days. Quantity II: A+B work = 6/18 = 1/3. Remaining = 2/3 done by B in 24 days, so 1/B = (2/3)/24 = 1/36, B = 36 days. Then 1/A = 1/18 - 1/36, A = 36 days. Quantity II (36) > Quantity I (9.6).

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