Multiple choice

P and Q can do a project in 150 and 100 days, respectively. In how many days can they complete 60% of the project if they work together?

  1. 12 days

  2. 72 days

  3. 42 days

  4. 36 days
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

P's rate = 1/150, Q's rate = 1/100. Combined rate = (2+3)/300 = 5/300 = 1/60. Time to complete 60% = (0.6 * 1) / (1/60) = 0.6 * 60 = 36 days.

AI explanation

Using the Least Common Multiple (LCM) method, let the total project be 300 units. P's work rate is 2 units per day and Q's work rate is 3 units per day. Their combined rate is 5 units per day. 60% of the total project is 180 units. They can complete this portion in 180 divided by 5 days, which equals 36 days.

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