Question

Six women and 10 children together take six days to complete a piece of work. How many days will 10 children take to complete that piece of work if six women together can complete the same piece of work in 10 days?

Answer 1

Answer:

15 children

Step-by-step explanation:

Solution

It is given that 6 woman can complete the work in 10 days. Let the work completed by each woman be 'w'.

Work = 10*6w = 60w.

10 children and 6 woman complete the work in 6 days. Let the amount of work completed by each child be 'c'.

6*(10c+6w) = 60w

60c+36w = 60w

60c = 24w

Multiplying both sides by 2.5, we get,

150c = 60w

Therefore, 10 children will take 15 days to complete the work.