Answer:
28 minutes
Step-by-step explanation:
we know that
1) A factory manufactures a metal piece in 32 minutes
2) New technology allowed the factory to cut that time by 8%
Remember that
[tex]100\%-8\%=92\%=92/100=0.92[/tex]
In this part 32 minutes represent the 100%
To find out how long it take to manufacture the piece, multiply 32 minutes by the factor 0.92
[tex]32(0.92)=29.44\ min[/tex]
3) Then another improvement cut the time by 5%
Remember that
[tex]100\%-5\%=95\%=95/100=0.95[/tex]
In this part 29.44 minutes represent the 100%
To find out how long it take to manufacture the piece now, multiply 29.44 minutes by the factor 0.95
[tex]29.44(0.95)=28\ min[/tex]
