Ron begins reading a book at 4: 30 p.m. and reads at a steady pace of 30 pages per hour. Michelle begins reading a copy of the same book at 6: 00 p.m. If Michelle started 5 pages behind the page that Ron started on and reads at an average pace of 50 pages per hour, at what time would Ron and Michelle be reading the same page?
Pick one
A) 7: 00 p.m.  B) 7: 30 p.m.  C) 7: 45 p.m.  D) 8: 00 p.m.  E) 8: 30 p.m.
Ron's speed is 30 pages per hour =1/2 page per minute   Time at which he starts reading is 4:30 pm   now,   by the time Michelle beings reading (6:00 pm) Ron has already covered  (1/2)*90= 
<gadget id="calculator"> (1/2)*90</gadget>
<output>45</output>
45 pages   as per the question   Michelle starts 5 pages behind the page Ron started and her speed is 5/6 pages per minute   relative speed= 5/6-1/2=1/3   pages left =45+5= 
<gadget id="calculator">45+5</gadget>
<output>50</output>
50   time taken to read those pages=50/(1/3)= 
<gadget id="calculator">50/(1/3)</gadget>
<output>150</output>
150 minutes   Thus time taken to reach the same page   6:00 pm + (150 minutes)=8:30 pm   ANSW8: 30 p.m.R:8: 30 p.m.
<result>E</result>
Ron begins reading a book at 4: 30 p.m. and reads at a steady pace of 30 pages per hour. Michelle begins reading a copy of the same book at 6: 00 p.m. If Michelle started 5 pages behind the page that Ron started on and reads at an average pace of 50 pages per hour, at what time would Ron and Michelle be reading the same page?