Two machines, Y and Z, work at constant rates producing identical items. Machine Y produces 30 items in the same time Machine Z produces 24 items. If machine Y takes 36 minutes to produce a batch of items, how many minutes does it take for machine Z to produce the same number of items?  Answers
A) 60  B) 90  C) 9 1/2  D) 45  E) 13 1/2
rate z/rate y=24/30   time z/time y=30/24   30/24*36= 
<gadget id="calculator">30/24*36</gadget>
<output>45</output>
45 minutes   45
<result>D</result>
Two machines, Y and Z, work at constant rates producing identical items. Machine Y produces 30 items in the same time Machine Z produces 24 items. If machine Y takes 36 minutes to produce a batch of items, how many minutes does it take for machine Z to produce the same number of items?