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Chain Rule

Q1: Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

A 648

B 1800

C 2700

D 10800

ANS:B - 1800

Let the required number of bottles be x. More machines, More bottles (Direct Proportion) More minutes, More bottles (Direct Proportion)

Machines 6 : 10 :: 270 : x
Time (in minutes) 1 : 4
 6 x 1 x x = 10 x 4 x 270
 x = (10 x 4 x 270)
(6)
 x = 1800.



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