A copy machine makes 24 copies per minute is already given. So the question becomes easy because of this part. the only thing that needs to be noticed are the minute details given in the question, otherwise it is an absolutely simple problem.
24 copies can be copied by the copy machine in = 1 minute
Then
114 copies will be copied by the machine in = (1/24) * 114 minutes
= 114/24 minutes
= 4.75 minutes
So the copy machine has the capacity to copy 114 copies in 4.75 minutes.