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) 1,800
(C) 2,700
(D) 10,800
(E) 64,800
OA: B
Can someone please explain how to solve this problem. Thank you.
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lionsshare
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Given: 6 identical machines can produce a total of 270 bottles/minutelionsshare wrote: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) 1,800
(C) 2,700
(D) 10,800
(E) 64,800
OA: B
Can someone please explain how to solve this problem. Thank you.
=> 10 identical machines can produce a total of 270*(10/6) = 450 bottles/minute
=> 10 identical machines can produce a total of 450*4 = 1800 bottles in 4 minutes
The correct answer: B
Hope this helps!
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Hi lionsshare,
We're told that 6 identical machines can produce a total of 270 bottles per minute. We're asked for the number of bottles that 10 such machines would produce in 4 minutes when working at this same rate.
Since this is just a big 'rate' question, you can approach the math in a couple of different ways. From the information in the first sentence, since 6 divides evenly into 270, you could figure out the rate/minute for 1 machine...
270/6 = 45 bottles/minute for 1 machine
Since we have 10 machines working for 4 minutes each, that would give us...
(10)(4)(45) = 1800 bottles
Final Answer: B
GMAT assassins aren't born, they're made,
Rich
We're told that 6 identical machines can produce a total of 270 bottles per minute. We're asked for the number of bottles that 10 such machines would produce in 4 minutes when working at this same rate.
Since this is just a big 'rate' question, you can approach the math in a couple of different ways. From the information in the first sentence, since 6 divides evenly into 270, you could figure out the rate/minute for 1 machine...
270/6 = 45 bottles/minute for 1 machine
Since we have 10 machines working for 4 minutes each, that would give us...
(10)(4)(45) = 1800 bottles
Final Answer: B
GMAT assassins aren't born, they're made,
Rich
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Scott@TargetTestPrep
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We can create the following proportion, where x = the number of bottles 10 machines can produce in a minute:lionsshare wrote: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) 1,800
(C) 2,700
(D) 10,800
(E) 64,800
6/270 = 10/x
6x = 2700
x = 450
Thus we see that 10 machines can produce 450 bottles per minute and thus they can produce 450 x 4 = 1,800 bottles in 4 minutes.
Answer: B
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rishab0507
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6 machines produce = 270 bottles/ min
1 min can produce : 270/ 6 bottles / min
i.,e 45 bottles / min
Now 10 machines can produce how many bottles / min
10 * 45 = 450 bottles/ min
in 4 min 10 machines can produce : 450*4 = 1800 bottles
1 min can produce : 270/ 6 bottles / min
i.,e 45 bottles / min
Now 10 machines can produce how many bottles / min
10 * 45 = 450 bottles/ min
in 4 min 10 machines can produce : 450*4 = 1800 bottles
