If 108 workers can build a wall in 36 days, then in how many days can 48 workers build the same wall?
- A72
- B63
- C81
- D54
Solution & Step-by-step Explanation
Using the work equivalence formula:
M
1
×D
1
=M
2
×D
2
Where:
M
1
=108 workers
D
1
=36 days
M
2
=48 workers
D
2
=number of days required
Substitute the values:
108×36=48×D
2
D
2
=
48
108×36
Simplify by dividing 36 and 48 by 12:
D
2
=
4
108×3
D
2
=27×3=81 days
Thus, 48 workers can build the wall in 81 days.
M
1
×D
1
=M
2
×D
2
Where:
M
1
=108 workers
D
1
=36 days
M
2
=48 workers
D
2
=number of days required
Substitute the values:
108×36=48×D
2
D
2
=
48
108×36
Simplify by dividing 36 and 48 by 12:
D
2
=
4
108×3
D
2
=27×3=81 days
Thus, 48 workers can build the wall in 81 days.