Running at the same constant rate, 6 identical machines can produce a total of 2

Question

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?

Options:

A . 648

B . 1800

C . 2700

D . 10800

Answer: Option B

Let the required number of bottles be x.

More machines, More bottles (Direct Proportion)

More minutes, More bottles (Direct Proportion)

Machines
6
:
10

Running At The Same Constant Rate, 6 Identical Machines Can ...

:: 270 : x
Time (in minutes)
1
:
4

So, 6 x 1 x x = 10 x 4 x 270

x = \(\frac{(10\times4\times270)}{(6)}\)

x= 1800.

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