Latest CAT Aptitude Question SOLUTION: 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 machi

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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 for10 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?

Asked In CAT Devendra Marghade (12 years ago)

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chaitanya  (12 years ago)

Time taken in producing 9000 nuts
= 9000/100 × 1 + 9000/1000 × 5
= 90 + 45 = 135 minutes
Time taken in producing 9000 bolts
= 9000/75 × 1 + 9000/1500 × 10
= 120 + 60 = 180 minutes
Thus for making 9000 pairs of nuts and bolts time taken is 180 minutes.

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Pankaj kumar  (12 years ago)

170 min.

time required to produce 9000 nuts = 15*8+10=130 min.
time required to prodcue 9000 bolts = 30*5+20=170 min.

so min duration required for producting 9000 pairs of nuts and bolts is 170 min

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