If 3 women or 5 girls take 17 days to complete a piece of work, how long will 7 women and 11 girls working together take to complete the work?
Answers
Answer: This means that they take 1/0.26 days to complete the work
=> they take approximately 4 days to complete the work
Step-by-step explanation:
Let work done by one woman be = x
Let work done by one girl be = y
Therefore,
Work done by one woman in one day = 1/x
Work done by one girl in one day be = 1/y
According to the question,
3 women completed the work in 17 days
=> 3/x = 1/17
=> x = 17*3 = 51
One woman takes 51 days to complete the work
Also, 5 girls take 17 days
=> 5/y = 1/17
=> y = 17*5 = 85
One girl takes 85 days to complete the work
We need to find the number of days taken by 7 women and 11 girls together to complete the work
=> 7/x + 11/y
Substituting the values of x and y found above and solving, we get
=> 7/51 + 11/85
=> [(7*85) + (11*51)] / [85*51]
=> [595 + 561] / 4335
=> 0.26 approximately
This means that they take 1/0.26 days to complete the work
=> they take approximately 4 days to complete the work
Please brainlist my answer, if helpful!