120 men consume 720kg of rice in 30 days. In how many days can 90 men consume 270kg?
- A18
- B12
- C9
- D15
Solution & Step-by-step Explanation
We can use the Work and Time formula (Chain Rule):
W
1
M
1
×D
1
=
W
2
M
2
×D
2
Where:
M
1
=120 men, D
1
=30 days, W
1
=720kg
M
2
=90 men, D
2
=? days, W
2
=270kg
Substituting the values into the formula:
720
120×30
=
270
90×D
2
Simplify both sides:
720
3600
=
270
90×D
2
5=
3
1
×D
2
Solving for D
2
:
D
2
=5×3=15 days
W
1
M
1
×D
1
=
W
2
M
2
×D
2
Where:
M
1
=120 men, D
1
=30 days, W
1
=720kg
M
2
=90 men, D
2
=? days, W
2
=270kg
Substituting the values into the formula:
720
120×30
=
270
90×D
2
Simplify both sides:
720
3600
=
270
90×D
2
5=
3
1
×D
2
Solving for D
2
:
D
2
=5×3=15 days