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Q.

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?

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a

648

b

1800

c

2700

d

10800

answer is B.

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Detailed Solution

Concept:
Keep in mind that machines operate at a uniform rate of production. Using the evidence that 270 bottles are produced each minute by 6 machines, we may determine the value of x by determining that each machine produces x bottles per minute.
In order to begin with the solution, we'll assume that a machine can make x bottles each minute. [12]
Additional appliances and bottles (Direct Proportion)
Next minutes and bottles (Direct Proportion)
Machines 6:10}:: 270: x
Time (in minutes) 1:4}

6 \times 1 \times x = 10 \times 4 \times 270

\Rightarrow x = \frac{(10 \times 4 \times 270)}{(6)}

\Rightarrow x = 1800

Hence, option (2)1800 is correct.

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