A factory produces nuts and bolts.A machine in it produces only nuts while another produces only bolts. The machine producing only nuts produces 500 nuts/min and need to be cleared 15 min after producing of 3000 nuts. The machine producing only bolts produces 300 bolts/min and needs to be cleared for 15 min after production of 3000 bolts. Find the minimum time required to produce 15000 pairs of bolts and nuts if both machines are operated simultaneously.

A. 100min
B. 90min
C. 110min
D. 120min
E. none

• 1.Nuts:-15,000 to be produced
  500/min and takes 15 min rest after producing 3000 units.
  So , it will take 6 mins to produce 3000 units.than 15 min break.
  Means- 6mins*5=30 mins, 3000*5=15,000
  Rest- 15mins*4=60 mins.total 90 mins
  1. bolts:-15,000 to be produced
  300/min and takes 15 min rest after producing 3000 units.
  So , it will take 10 mins to produce 3000 units.than 15 min break.
  Means- 10mins*5=50 mins, 3000*5=15,000
  Rest- 15mins*4=60 mins.total 110 mins.
  As both machine runs simultaneously time taken is 110 mins.
• 7 years agoHelpfull: Yes(2) No(0)
• 100 min
  Solution--
  Time taken to prduce 500 nuts=1 min
  So,tim etaken to produce 3000 nuts=6 min
  also ,it is cleared for 15 min.So total time taken to produce 3000 nuts=6+15=21 min
  Similarly ,time taken to produce 3000 bolts=10+15=25 mins
  so min time taken to produce 15,000 pairs of nuts and bolts=time taken to produce 15,000 bolts(since bolts take more time)=25*5=125
  But the last clearing time is omitted as bolts are already produced.So required min time is 125-25=100
• 7 years agoHelpfull: Yes(2) No(1)