If 6 machines can manufacture 480 components in 8 hours,
If 6 machines can manufacture 480 components in 8 hours, how many components can 10 machines manufacture in 12 hours, assuming all machines work at the same constant rate?
यदि 6 मशीनें 8 घंटे में 480 पुर्जे बना सकती हैं, तो 10 मशीनें 12 घंटे में कितने पुर्जे बना सकती हैं, यह मानते हुए कि सभी मशीनें एक समान नियत दर से कार्य करती हैं?
Detailed Solution & Logic
Correct Answer:
1200
The number of components is directly proportional to:
Machines × Time
So,
$6 \times 8$ hours produce 480 components.
Let the required number of components be $x$.
Using proportion:
$\frac{x}{480}=\frac{10\times12}{6\times8}$
$\frac{x}{480}=\frac{120}{48}$
$\frac{x}{480}=2.5$
$x=480\times2.5$
x=1200
Final Answer: 1200
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