Question No. 15DIRECTIONS for question 15: Type in your answer in the input box provided below the question.Three men and four women working together can do a piece of work in four days, whereas four men and two women working together require six days to complete the same work. In how many days can nine men and two women working together finish the work?
Question
Question No. 15DIRECTIONS for question 15: Type in your answer in the input box provided below the question.Three men and four women working together can do a piece of work in four days, whereas four men and two women working together require six days to complete the same work. In how many days can nine men and two women working together finish the work?
Solution
Let's solve this step by step:
Step 1: Let's denote the work done by one man in one day as 'm' and the work done by one woman in one day as 'w'.
Step 2: According to the problem, three men and four women can complete the work in four days. So, we can write this as: 4(3m + 4w) = 1 (since the whole work is considered as '1')
Step 3: Similarly, four men and two women can complete the work in six days. So, we can write this as: 6(4m + 2w) = 1
Step 4: Now we have two equations, and we can solve them to find the values of 'm' and 'w'.
Step 5: After finding 'm' and 'w', we can find out how many days nine men and two women will take to finish the work by using the equation: d(9m + 2w) = 1, where 'd' is the number of days.
By solving these equations, we can find the answer to the problem.
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