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.

Lucas, DSM said:   9 years ago
When Direct Proportion: M1*D2*H1 = M2*D2*H2. I cannot understand the rule for calculating direct proportion amount especially using the formula. Please explain and provide worked example.
(1)

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.

Buddhika said:   1 decade ago
Machine. Minutes. Bottles.

1. 1. 45.
6. 1. 270.
10. 1. 450.
10. 4. 1800.

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.

Aun said:   1 decade ago
How we can multiple 10*4*270 ?

Javeed said:   1 decade ago
@ravi Teja : Super Explanation


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