Multiple choice

If 30 girls can do a piece of work in 15 days and 25 boys can complete the same work in 12 days, what will be the ratio between the capacity of a girl and that of a boy?

  1. 5 : 6

  2. 3 : 2

  3. 4 : 3

  4. 2 : 3

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

30 girls * 15 days = 450 girl-days. 25 boys * 12 days = 300 boy-days. Since work is same, 450 G = 300 B. G/B = 300/450 = 2/3.

AI explanation

Calculate the total work in terms of girl-days and boy-days by multiplying the number of workers by their respective days. The total work is 30 girls multiplied by 15 days, equaling 450 girl-days, and it is also 25 boys multiplied by 12 days, equaling 300 boy-days. This means 450 girl-days is equivalent to 300 boy-days, so dividing both sides by 450 shows that 1 girl-day equals 2/3 of a boy-day. Therefore, the ratio of the capacity of a girl to that of a boy is 2 to 3.

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