Math Word Problem Help

Question

A small summer music festival has 11 acts which play sequentially on one stage. The first band goes on stage at noon, and the last band finishes at 8:00 PM. If the first 8 bands average 38 minutes each (including set up and take down) on the stage, what is the average time which each of the last 3 bands spend on the stage (including set up and take down)? Answer in terms of minutes and seconds.

Answer 1

There are a total of 8 hours, or 480 minutes, in which the 11 acts perform. The first 8 acts average 38 minutes each, so they take a total of 8(38) = 304 minutes. That leaves 480 - 304 = 176 minutes for the last 3 acts.

 

If the last 3 acts take a total of 176 minutes, they average 176/3 = 58 and 2/3 minutes each.

 

The question wants an answer in terms of minutes and seconds, so let's convert 2/3 minutes into seconds:

 

60 seconds / 1 minute = x seconds / (2/3) minutes

60(2/3) = x

40 = x

 

The bands average 58 minutes and 40 seconds each.