Aptitude - Time and Work - Discussion

Discussion Forum : Time and Work - Data Sufficiency 1 (Q.No. 2)
Directions to Solve

Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and

  • Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
  • Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
  • Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
  • Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
  • Give answer(E) if the data in both Statements I and II together are necessary to answer the question.

2.

How long will Machine Y, working alone, take to produce x candles?

I. 

Machine X produces x candles in 5 minutes.

 II. 

Machine X and Machine Y working at the same time produce x candles in 2 minutes.

I alone sufficient while II alone not sufficient to answer
II alone sufficient while I alone not sufficient to answer
Either I or II alone sufficient to answer
Both I and II are not sufficient to answer
Both I and II are necessary to answer
Answer: Option
Explanation:

 I. gives, Machine X produces x candles in 1 min.
5

II. gives, Machine X and Y produce x candles in 1 min.
2

From I and II, Y produces x - x = 3x candles in 1 min.
2 5 10

3x candles are produced by Y in 1 min.
10

x candles will be produced by Y in 10 x x min = 10 min.
3x 3

Thus, I and II both are necessary to get the answer.

Correct answer is (E).

Discussion:
6 comments Page 1 of 1.

Bhuvi said:   1 year ago
3x/10 candles are produced by y in 1min,
i.e: y produces 3x/10 candles in 1min,
i.e 3x/10 = 1,
3x = 10,
x = 10/3,

Therefore, x candles will be produced by y in 10/3 mins.

Pavan said:   7 years ago
@Ktea.

3x/10 candles are produced by y in 1min,
i.e:y produces 3x/10 candles in 1min,
i.e 3x/10=1,
3x=10,
x=10/3,

Therefore, x candles will be produced by y in 10/3 mins.
(1)

Dipon said:   8 years ago
Thanks for the explanation.
(1)

Ktea said:   9 years ago
@Srikanth.

Because 3x/10 candles are produced by y in 1min.
so, 3x/10 candles = 1 min.
ie it takes y to produce x candles in 3/10 min.
y produces x candles = 3/10 min.
(1)

Narayan said:   1 decade ago
Ram and Hari can do a piece of work in 18 days . If Hari works alone for the last 15 days then it is completed in 27 days . In how many days Ram can do the whole work
(1)

Srikanth said:   2 decades ago
How 3x/10 bacame 10/3x ? Can anyone help me out here?
(1)

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