Multiple choice

P is twice as efficient as Q. Q takes 12 days to complete a job. If both of them work together, how much time will they take to complete the job?

  1. 6 days

  2. 5 days

  3. 4 days

  4. 3 days

  5. Na
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Q takes 12 days. P is twice as efficient, so P takes 6 days. Combined work rate = 1/12 + 1/6 = 3/12 = 1/4. Time = 4 days.

AI explanation

Using the time and efficiency inverse relationship, if Q takes 12 days to complete the job, the twice-as-efficient P takes 6 days. Their daily work rates are 1/12 and 1/6 respectively. Adding these rates gives a combined daily rate of 1/4, meaning they will complete the job together in 4 days.

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