Multiple choice

A takes twice as much time as B and thrice as much as C to complete a piece of work.They together complete the work in 1 day.In what time will A alone complete the work?

  1. 9 days

  2. 5 days

  3. 6 days

  4. 4 days
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

If C takes x days, then A takes 3x days and B takes 1.5x days. Combined rate: 1/3x + 2/3x + 1/x = 1/1 day. Solving: (1 + 2 + 3)/3x = 1, so 6/3x = 1, x = 2. A takes 3x = 6 days alone. Their combined work: 1/6 + 1/3 + 1/2 = 1, confirming they finish together in 1 day.

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