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.

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

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.

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.

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.

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

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

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

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.

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)

Nishant said:   9 years ago
What kind of formula is this? they change formula whenever they want to. See the 1st and 3rd question. Both are same. Which formula is correct. They change the sequence of formula. Anybody help it, please.
(2)


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