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
Similar Practice Questions
One pipe can fill the tank in 21 minutes
One pipe can fill the tank in 21 minutes while another pipe can empty completely...
M and N can do a price of work in 16 days and O can do it in 48 days. In how many days will M, N, and O do this work together?
M and N can do a price of work in 16 days and O can...
A work can be finished in a day by 20 men
A work can be finished in a day by 20 men, or by 30 women,...
Two pipes can fill a cistern, individually, in 100 min and 25 min, respectively.
Two pipes can fill a cistern, individually, in 100 min and 25 min, respectively. There...
A can do a piece of work in 20 days.
A can do a piece of work in 20 days. He worked for 8 days....
Ritu and Mona can finish painting a house
Ritu and Mona can finish painting a house together in 18 days. Ritu alone would...
Two taps can fill a cistern in 4 hours and 38 hours respectively.
Two taps can fill a cistern in 4 hours and 38 hours respectively. A third...