Supermarket Packaging Efficiency

How long will it take for two packagers to pack 500 boxes together?

Given that one packager can pack 15 boxes every two minutes and another one can pack 15 boxes every three minutes.

Answer:

40 minutes

To determine how long it will take for two packagers to pack 500 boxes together, we can set up the equation:

Work rate of the first packager = 1 box per 2 minutes = 15 boxes per 30 minutes

Work rate of the second packager = 1 box per 3 minutes = 15 boxes per 45 minutes

Combined work rate of both packagers = 15 boxes per 30 minutes + 15 boxes per 45 minutes = 30 boxes per 45 minutes = 2/3 boxes per minute

Now, to pack 500 boxes, at a combined rate of 2/3 boxes per minute:

Time = Total boxes / Combined rate = 500 boxes / (2/3) boxes per minute

Time = 500 / (2/3) = 500 * 3 / 2 = 750 / 2 = 375 minutes

Therefore, it will take the two packagers 375 minutes to pack 500 boxes together, which is equal to 40 minutes (rounded up to the nearest whole number).