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 1 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.

Arun said:   5 years ago
It can also be more machines, Less Minutes (Indirect Proportion).

And Less Machine more minutes (Indirect Proportion). Right? Correct me If I am wrong.
(1)

Sharath said:   5 years ago
6 machines = 270 (1min).
10 machines = ? (4min).
10 machines x 4 min = 40 machines (1 min).

Now cross multiply,
40x270/6 = 1800.
(11)

Vishal Pathak said:   6 years ago
6 Machine ----- 1min ----- 270 bottle,
1 Machine ----- 1min ----- 270/6 bottle,
1 Machine ----- 4min ----- (270/6) * 4,
10 Machine ----- 4min ----- (270/6) * 4 * 10.

So, 1800 is the answer.
(28)

Gautam said:   7 years ago
Thanks @SOUJI.

Nurun Nobi Khokon said:   7 years ago
6 Machine in 1 minute produce 270 units.

So, 1 machine in 1 minute produce 270/6 or 45 units.
So, 10 machines working 4 minutes produce = 45 x 10 x 4 or 1800 units.
(2)

Shiva kumar said:   8 years ago
@Nishant.

(num of machine) * time = work.
First given, 6M * 1min = 270.
Then 1 machine =270/6= 45.
Second step given 10m * 4 = work -->1).
We know 1MACHINE=45 PUT IN EQ -->1.
10 * 45 * 4 = 450 * 4 = 1800.
It's simple hope you understand.
(1)

Ananth said:   9 years ago
270/6 x 10 x 4 = 1800.
(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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