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Previous Year Paper

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CAT-2004-Previous Years Paper

Question
13 out of 35
 

In Nuts and Bolts factory, one machine produces only nuts at the rate of 100 nuts per min and needs to be cleaned for 5 mins after production of every 1,000 nuts. Another machine produces only bolts at the rate of 75 bolts per min and needs to cleaned for 10 mins after production of every 1,500 bolts. If both the machines start production at the same time, what is the minimum duration required for producing 9,000 pairs of nuts and bolts?



A 130 min
B 135 min

C 170 min
D 180 min

Ans. C

Machine I:

Number of nuts produced in one min = 100

To produce 1000 nuts the 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 nuts = 138 min
5 min = 133 min ... (1)

Machine II:

To produce 75 bolts time required = 1 min

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 min

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