Answer:
[tex]20\ minutes[/tex]
Step-by-step explanation:
we know that
An old copy machine takes [tex]60[/tex] minutes to make [tex]2,000[/tex] copies
so
by proportion
Find how many copies makes in [tex]15[/tex] minutes
[tex]\frac{2,000}{60}=\frac{x}{15}[/tex]
[tex]x=2,000*15/60=500\ copies[/tex]
Remember that
A newer copier works alongside the old copier takes [tex]15[/tex] minutes to make [tex]2,000[/tex] copies
that means that the newer copier in [tex]15[/tex] minutes makes [tex]2,000-500=1,500[/tex] copies
so
The newer copier takes [tex]15[/tex] minutes to make [tex]1,500[/tex] copies
by proportion
Find how many minutes are required for the newer copier working alone to make [tex]2,000[/tex] copies
[tex]\frac{15}{1,500}=\frac{x}{2,000} \\ x=2,000*15/1,500\\x=20\ minutes[/tex]
