A factory has two types of machines.
•The factory has 6 cutting machines and 4 stamping machines.
•Each cutting machine cuts 105 parts every 3 minutes
•Each stamping machine stamps 24 parts every 20 seconds

PART A
How many parts can all 6 cutting machines cut in 1 minute
A. 105 Parts
B. 140 Parts
C.210 Parts
D. 315 Parts

PART B
The factory needs to stamp 4,320 parts. How many minutes will it take for all 4 stamping machines to stamp 4,320 parts?
A.10 Minutes
B. 15 Minutes
C. 45 Minutes
D. 60 Minutes

Feel free to take your time answering! An explanation would be appreciated!

Question

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Respuesta :

calculista calculista · Answer 1 · 2019-05-01T20:46:14+02:00

Answer:

Part A) Option C/ 210 parts

Part B) Option B. 15 minutes

Step-by-step explanation:

Part A) we know that

•Each cutting machine cuts 105 parts every 3 minutes

so

6 cutting machine cuts (105*6=630) parts every 3 minutes

using proportion

[tex]\frac{630}{3}\frac{parts}{min}=\frac{x}{1}\frac{parts}{min}\\ \\x= 210\ parts[/tex]

Part B) we know that

Each stamping machine stamps 24 parts every 20 seconds

so

4 stamping machine stamps (24*4=96) parts every 20 seconds

using proportion

[tex]\frac{20}{96}\frac{sec}{parts}=\frac{x}{4,320}\frac{sec}{parts} \\ \\x=4,320*20/96\\ \\x=900\ sec[/tex]

Convert to minutes

[tex]900/60=15\ min[/tex]