Multiple choice

The ratio of the capacity to do work of A and B is 3: 2. if they together can complete a work in 18 days, then how long does a take to complete the work alone?

  1. 20 days

  2. 30 days

  3. 45 days

  4. 25 days

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Since the ratio of the work capacities of A and B is 3:2, we can assume A does 3 units of work per day and B does 2 units. Together they do 5 units of work per day, so the total work is 5 * 18 = 90 units. A alone will take 90 / 3 = 30 days to complete this work.

AI explanation

Given the efficiency ratio of A to B is 3:2, assume A's daily work is 3 units and B's daily work is 2 units. Working together, their combined daily work is 5 units, so the total work is 90 units (5 units multiplied by 18 days). A alone will take 30 days to complete the 90 units of work at a rate of 3 units per day.

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