Multiple choice

If four women can dig a pit in 60 days and a woman works half as much as a man, then working together, eight women and six men can dig the same pit in

  1. 6 days

  2. 8 days

  3. 5 days

  4. 12 days

  5. 16 5 days
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let a woman's work rate be w. Then a man's rate is 2w. Four women do the pit in 60 days, so the total work is 4w * 60 = 240w. Eight women and six men have a combined rate of 8w + 6(2w) = 20w. The time taken is 240w / 20w = 12 days.

AI explanation

Four women digging a pit in 60 days means the total work requires 240 woman-days. Since a woman works half as much as a man, one man equals two women, making the team of eight women and six men equal to 20 women. Dividing the total 240 woman-days by 20 women gives 12 days.

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