Running at a constant rate, 6 machines can produce 100 boxes of chewing gums in 8 hours . How many more minutes is required to complete the same job with 5 such machines ?

96 more minutes are required to complete the same job with 5 such machines

Step-by-step explanation:

Proportions

We know 6 machines produce 100 boxes of chewing gum in 8 hours. For convenience, we'll work in minutes instead of hours.

The time needed for the 6 machines to complete the job is 8*60=480 minutes.

Considering proportions, if 6 machines complete the job in 480 minutes, then ONE machine would need 6*480 = 2880 minutes.

Now consider 5 such machines working. The time needed would reduce by a factor of 5: 2880/5=576 minutes

Now we know 5 machines would take 576 minutes. That is a difference of 576 - 480 = 96 minutes. Thus,

96 more minutes are required to complete the same job with 5 such machines