In Nuts And Bolts factory, one machine produces only nuts at the rate of 100 nuts per minute and needs to be cleaned for 5 minutes after production of every 1000 nuts. Another machine produces only bolts at the rate of 75 bolts per minute and needs to cleaned for 10 minutes after production of every 1500 bolts. If both the machines start production at the same time, what is the minimum duration required for producing 9000 pairs of nuts and bolts?
A. 135
B. 170
C. 130
D. 180
Answer: Option B
Solution(By Examveda Team)
Machine I:Number of nuts produced in one minute = 100
To produce 1000 nuts time required =10 min
Cleaning time for nuts =5 min
Over all time to produce 1000 nuts =15 min.
Over all time to produce 9000=138 min - 5 min =133 min -----(1)
Machine II:
To produce 75 bolts time required =1min
To produce 1500 bolts time required =20 min
Cleaning time for bolts =10 min.
Effective time to produce 1500 bolts =30 min
Effective time to produce 9000 bolts =30*6-10=170 min ------ (2)
From (1) and (2)
Minimum time = 170 minutes.
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