Aptitude - Chain Rule - Discussion

Discussion Forum : Chain Rule - General Questions (Q.No. 3)
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?
648
1800
2700
10800
Answer: Option
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.

Discussion:
29 comments Page 2 of 3.

Dharika said:   5 months ago
Nice, Thanks all for explaining the answer.

Eshita said:   4 years ago
Hello @Sandy.

Your doubt was how do we evaluate propotions.

So, if more and less are there or less and more are there it is indirect.

And if more and more are there or les and less are there it is direct proportion.

Hope it will helps.

Gautam said:   7 years ago
Thanks @SOUJI.

Jay Jethava said:   9 years ago
6 machines gives 270 bottles in 1 minute.

Therefore 1 machine in 1 minute = 270/6 = 90/2 = 45.

Now 10 machines in 4 minutes = 45 * 10 * 2 = 1800.

Ravi Kumar said:   1 decade ago
Simple:

When Indirect proportion: M1*D1*H1 = M2*D2*H2.

When Direct Proportion: M1*D2*H1 = M2*D2*H2.

Karthikeyan j said:   1 decade ago
6*1*270 = 10*4*x.
6*270 = 40*x.
x = 40/6*270.
x = 1800.

Souji said:   1 decade ago
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

Sunraj said:   1 decade ago
6 M/C = 270 Bottles/min.

1 M/C = 270/6 Bottles/min = 45 Bottles/min.

10 M/C = 45*10 = 450 Bottles/min.

So, in 4 min,

Number of Bottles = 450*4 = -1800.

Abhishek said:   1 decade ago
Hi all,
It's a technique to solve these type of questions, gre technique.

6 10 16.

45 45 45.
270 450 total.
450 in a min so in 4min 1800.

Bharath said:   1 decade ago
6 machines produces 270 bottles in 1 minute so first we check how many bottles 1 machine can produce in 1 minute.

i.e. 270/6=45 bottles in 1 minute.

1 machine can produce 45 bottles in 1 minute.

Now we will check how many bottles can be produced in 4 mints.

i.e. 45*4=180 bottles.

1 machine can produce 180 bottles in 4 minutes 10 machines can produce 1800 bottles in 10 minutes.


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