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Aptitude - Chain Rule - Discussion

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"Example is better than precept."
- (Proverb)
3. 

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

Answer: Option A

Explanation:

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.


Souji said: (Tue, Jan 18, 2011 01:01:54 PM)    
 
Total bottles 270 for 6 machines in 1 minute...
for each machine...=270/6=45bottles...in 1mnt
for 10 bottles......45*10=450*4=1800..in 4mnts

Vino said: (Thu, Feb 3, 2011 06:43:41 AM)    
 
Explain in detail this direct proportion.

Sandy said: (Sat, Jul 2, 2011 05:58:00 AM)    
 
More machines, More bottles (Direct Proportion)
More minutes, More bottles (Direct Proportion)

Please anybody explain me how evaluate proportions?

Umesh said: (Thu, Jul 28, 2011 04:07:18 PM)    
 
Production in 6 minutes = 270

Production in 01 minutes = 270/6

Production in 40 minutes = 270/6 *40 = 1800.

Kapil said: (Fri, Aug 12, 2011 11:28:18 PM)    
 
M1*H1/W1 = M2*H2/W2
6*1/270 = 10*4/W2
W2= 1800

Nikhil said: (Sun, Aug 21, 2011 08:14:21 PM)    
 
1 machine can produce= 270/6=45 bottles (in 1 minute)
10 machines can produce=10*45=450 bottles(in 1 minute)
so in 4 minutes no of bottles produced= 450*4=1800

Saurabh Dwivedi said: (Sat, Nov 5, 2011 12:31:10 PM)    
 
Well explanation given by sauji & nikhil.

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