Sure, let's solve this step by step:

Step 1: Find out how much work is done by 10 men and 15 women in one day. Since they can complete the work in 6 days, in one day they can complete 1/6 of the work.

Step 2: Find out how much work is done by one man in one day. Since one man can complete the work in 100 days, in one day he can complete 1/100 of the work.

Step 3: Since 10 men and 15 women can complete 1/6 of the work in one day, and one man can complete 1/100 of the work in one day, we can set up the equation: 10*(1/100) + 15*(1/W) = 1/6. Here, W is the number of days one woman would take to complete the work.

Step 4: Solve the equation for W. First, simplify the equation to get: 1/10 + 15/W = 1/6.

Step 5: Subtract 1/10 from both sides to get: 15/W = 1/6 - 1/10 = 4/60 = 1/15.

Step 6: Finally, solve for W by multiplying both sides by 15: W = 15 * 15 = 225.

So, one woman alone would take 225 days to complete the work.

Question

Sure, let's solve this step by step:

Step 1: Find out how much work is done by 10 men and 15 women in one day. Since they can complete the work in 6 days, in one day they can complete 1/6 of the work.

Step 2: Find out how much work is done by one man in one day. Since one man can complete the work in 100 days, in one day he can complete 1/100 of the work.

Step 3: Since 10 men and 15 women can complete 1/6 of the work in one day, and one man can complete 1/100 of the work in one day, we can set up the equation: 10*(1/100) + 15*(1/W) = 1/6. Here, W is the number of days one woman would take to complete the work.

Step 4: Solve the equation for W. First, simplify the equation to get: 1/10 + 15/W = 1/6.

Step 5: Subtract 1/10 from both sides to get: 15/W = 1/6 - 1/10 = 4/60 = 1/15.

Step 6: Finally, solve for W by multiplying both sides by 15: W = 15 * 15 = 225.

So, one woman alone would take 225 days to complete the work.

Knowee AI · Accepted Answer

Sure, let's solve this step by step:

Step 1: Find out how much work is done by 10 men and 15 women in one day. Since they can complete the work in 6 days, in one day they can complete 1/6 of the work.

Step 2: Find out how much work is done by one man in one day. Since one man can complete the work in 100 days, in one day he can complete 1/100 of the work.

Step 3: Since 10 men and 15 women can complete 1/6 of the work in one day, and one man can complete 1/100 of the work in one day, we can set up the equation: 10*(1/100) + 15*(1/W) = 1/6. Here, W is the number of days one woman would take to complete the work.

Step 4: Solve the equation for W. First, simplify the equation to get: 1/10 + 15/W = 1/6.

Step 5: Subtract 1/10 from both sides to get: 15/W = 1/6 - 1/10 = 4/60 = 1/15.

Step 6: Finally, solve for W by multiplying both sides by 15: W = 15 * 15 = 225.

So, one woman alone would take 225 days to complete the work.

10 men and 15 women together can complete a work in 6 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work

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