Multiple choice

A person X can complete 20% of work in 8 days and another person Y can complete 25% of the same work in 6 days. If they work together, in how many days will 40% of the work be completed?

  1. 6

  2. 8

  3. 10

  4. 12
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

X completes 100% in 8/0.2 = 40 days. Y completes 100% in 6/0.25 = 24 days. Combined rate = 1/40 + 1/24 = (3+5)/120 = 8/120 = 1/15. To complete 40% of work, time = 0.4 * 15 = 6 days.

AI explanation

Person X takes 8 days to complete 20% of the work, so X's one day work is 0.20 / 8 = 1/40. Person Y takes 6 days to complete 25% of the work, so Y's one day work is 0.25 / 6 = 1/24. Working together, their combined one day work is 1/40 + 1/24 = 3/120 + 5/120 = 8/120, which simplifies to 1/15. To complete 40% of the work, the time required is 0.40 divided by (1/15), which equals 6 days.

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