There is a factory that makes widgets in different colors. The production time for each color is different. At the end of each day, all the widgets produced that day are placed in boxes. On a certain day, the factory made 1,800 gold widgets and 4,680 red widgets. It takes 40 minutes to produce a batch of gold widgets and 26 minutes to produce a batch of red widgets.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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F.  Determine the answer to the following questions:

1. “In a factory, if both colors of widgets start production at the same time and run continuously, after how many minutes will their starting time align again?” Explain the steps and problem-solving strategy used to determine the answer.

2.  Explain why the final answer is a greatest common divisor, least common multiple, or neither.

 

There is a factory that makes widgets in different colors. The production time for each color is different. At the end
of each day, all the widgets produced that day are placed in boxes. On a certain day, the factory made 1,800 gold
widgets and 4,680 red widgets. It takes 40 minutes to produce a batch of gold widgets and 26 minutes to produce a
batch of red widgets.
Transcribed Image Text:There is a factory that makes widgets in different colors. The production time for each color is different. At the end of each day, all the widgets produced that day are placed in boxes. On a certain day, the factory made 1,800 gold widgets and 4,680 red widgets. It takes 40 minutes to produce a batch of gold widgets and 26 minutes to produce a batch of red widgets.
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