Question

21 workers can make 1500 breads in 18 days. How many workers are required to make 1000 breads in 21 days?

• A. 10
• B. 12
• C. 15
• D. 16

Hint:

Use $M_{1}D_{1}W_{2} = M_{2}D_{2}W_{1}$ for quick calculation.

Answer 1

The Correct Option is B

Step 1: Concept
Time and Work formula: $\frac{M_{1}D_{1}}{W_{1}} = \frac{M_{2}D_{2}}{W_{2}}$.
Step 2: Meaning
M = Workers, D = Days, W = Work (Breads).
Step 3: Analysis
- Given: $M_{1}=21, D_{1}=18, W_{1}=1500$ - Target: $M_{2}=?, D_{2}=21, W_{2}=1000$ - $\frac{21 \times 18}{1500} = \frac{M_{2} \times 21}{1000}$ - $\frac{18}{1500} = \frac{M_{2}}{1000}$ - $M_{2} = \frac{18 \times 1000}{1500} = \frac{18 \times 2}{3} = 6 \times 2 = 12$.
Step 4: Conclusion
Hence, 12 workers are required.
Final Answer:(B)