Multiple choice

P and Q can complete a task in 50 and 20 days respectively. In how many days can they complete 70% of the task if they work together?

  1. 20 days

  2. 30 days

  3. 40 days

  4. 10 days
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

P's rate = 1/50, Q's rate = 1/20. Combined rate = 1/50 + 1/20 = 7/100. Time to complete 70% of the task = (0.7) / (7/100) = 0.7 * 100 / 7 = 10 days.

AI explanation

Using the combined work formula, the sum of the one day work of P and Q is (1/50) + (1/20) = 7/100. Therefore, working together they can complete the entire task in 100/7 days. To complete 70 percent of the task, they will take 0.70 multiplied by 100/7, which equals 10 days.

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