Multiple choice

P is double efficient than Q. P and Q can complete a piece of work in 2 days together. How many days will Q take if he works alone?

  1. 3 days

  2. 6 days

  3. 9 days

  4. 12 days

  5. 15 days

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Efficiency ratio P:Q = 2:1. Together they do 3 units/day. Total work = 3 * 2 = 6 units. Q alone does 1 unit/day, so Q takes 6/1 = 6 days.

AI explanation

Since P is twice as efficient as Q, if Q completes 1 unit of work per day, P completes 2 units per day. Their combined daily work is 3 units, which finishes the task in 2 days. This makes the total work 3 units per day * 2 days = 6 units. Working alone at a rate of 1 unit per day, Q requires 6 days to complete the work.