Question #19173
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Divide the number of pages by the time
R = D/T
R the rate is the number of pages per min.
D = The distance is number of pages = 30
T = the Time = 9 so
# R = 30/9# This can be factored
# R = 10 xx 3/ (3 xx 3 )# This leaves
# R = 10/3# or
# R = 9/3 + 1/3 # so
# R = 3 + 1/3# pages/min
#R=3.33# pages/min #-># #3.33# pages printed in #1# minute
To find out time take to print #1# page->
#1/3.33 # min/page
#(color(red)(0.3)cancel(1))/(color(red)(1)cancel(3.33))# min/page
#0.3/1# min per page.
Therefore it takes #0.3# minutes for #1# page to print.
The printer takes #0.3# minutes to print one page
The data given to us in the question says that the printer can print #30# pages in #9# minutes.
#(9 min)/(30"pages")# #-># #9# minutes for every #30# pages.
#(color(red)3cancel9 min)/(color(red)(10)cancel(30)"pages")#
#(3 min)/(10 "pages")# #-># #3# minutes for every #10# pages.
#(color(red)(0.3)cancel(3) min)/(color(red)(1)cancel(10)"pages")#
#(0.3 min)/(1"page")# #-># #0.3# minutes for #1# page.
#30 # pages= 9 minutes
#1# page#=1/cancel30^10xxcancel9^3/1#
#=3/10# minutes
#3/cancel10^1xxcancel60^6/1=18 seconds# per page
~~~~~~~~~~~~~~~~~~~~~~~~~~~~
check:. #18xx30=540 seconds#
#cancel540^9/cancel60^1=9# minutes
