25 women can do one-third of a work in 6 days. How many women should be employed so that the work is completed in 5 days?
- A90
- B50
- C30
- D60
Solution & Step-by-step Explanation
Using the work formula:
W
1
M
1
⋅D
1
=
W
2
M
2
⋅D
2
Where:
M
1
=25 women
D
1
=6 days
W
1
=
3
1
of the total work
We want to find M
2
(the total number of women needed) to complete the entire work (W
2
=1) in D
2
=5 days.
Substituting the values:
3
1
25⋅6
=
1
M
2
⋅5
25⋅6⋅3=5⋅M
2
450=5⋅M
2
M
2
=
5
450
=90
W
1
M
1
⋅D
1
=
W
2
M
2
⋅D
2
Where:
M
1
=25 women
D
1
=6 days
W
1
=
3
1
of the total work
We want to find M
2
(the total number of women needed) to complete the entire work (W
2
=1) in D
2
=5 days.
Substituting the values:
3
1
25⋅6
=
1
M
2
⋅5
25⋅6⋅3=5⋅M
2
450=5⋅M
2
M
2
=
5
450
=90