The problem can be solved by first finding the amount of work each group (men, women, boys) can do per day, and then finding how much work the combined group (one man, one woman, one boy) can do per day.

Step 1: Find the amount of work each group can do per day.
- 2 men can finish the work in 99 days, so 1 man can finish the work in 2*99 = 198 days. Therefore, 1 man can do 1/198 of the work per day.
- 6 women can finish the work in 99 days, so 1 woman can finish the work in 6*99 = 594 days. Therefore, 1 woman can do 1/594 of the work per day.
- 4 boys can finish the work in 99 days, so 1 boy can finish the work in 4*99 = 396 days. Therefore, 1 boy can do 1/396 of the work per day.

Step 2: Find the amount of work the combined group can do per day.
- One man, one woman, and one boy together can do 1/198 + 1/594 + 1/396 = 0.01818 of the work per day.

Step 3: Find how many days the combined group will take to finish the work.
- If the combined group can do 0.01818 of the work per day, they will take 1/0.01818 = 54.94 days to finish the work.

So, the closest answer is 54 days.

Question

The problem can be solved by first finding the amount of work each group (men, women, boys) can do per day, and then finding how much work the combined group (one man, one woman, one boy) can do per day.

Step 1: Find the amount of work each group can do per day.
- 2 men can finish the work in 99 days, so 1 man can finish the work in 2*99 = 198 days. Therefore, 1 man can do 1/198 of the work per day.
- 6 women can finish the work in 99 days, so 1 woman can finish the work in 6*99 = 594 days. Therefore, 1 woman can do 1/594 of the work per day.
- 4 boys can finish the work in 99 days, so 1 boy can finish the work in 4*99 = 396 days. Therefore, 1 boy can do 1/396 of the work per day.

Step 2: Find the amount of work the combined group can do per day.
- One man, one woman, and one boy together can do 1/198 + 1/594 + 1/396 = 0.01818 of the work per day.

Step 3: Find how many days the combined group will take to finish the work.
- If the combined group can do 0.01818 of the work per day, they will take 1/0.01818 = 54.94 days to finish the work.

So, the closest answer is 54 days.

Knowee AI · Accepted Answer

The problem can be solved by first finding the amount of work each group (men, women, boys) can do per day, and then finding how much work the combined group (one man, one woman, one boy) can do per day.

Step 1: Find the amount of work each group can do per day.
- 2 men can finish the work in 99 days, so 1 man can finish the work in 2*99 = 198 days. Therefore, 1 man can do 1/198 of the work per day.
- 6 women can finish the work in 99 days, so 1 woman can finish the work in 6*99 = 594 days. Therefore, 1 woman can do 1/594 of the work per day.
- 4 boys can finish the work in 99 days, so 1 boy can finish the work in 4*99 = 396 days. Therefore, 1 boy can do 1/396 of the work per day.

Step 2: Find the amount of work the combined group can do per day.
- One man, one woman, and one boy together can do 1/198 + 1/594 + 1/396 = 0.01818 of the work per day.

Step 3: Find how many days the combined group will take to finish the work.
- If the combined group can do 0.01818 of the work per day, they will take 1/0.01818 = 54.94 days to finish the work.

So, the closest answer is 54 days.

Select the correct answerIf 2 men or 6 women or 4 boys can finish a work in 99 days, then how many days will one man, one woman and one boy together take to finish the same work?Options54days44 daysNone104 days64 days

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