Aptitude - Time and Work - Discussion

Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.

1. 

In how many days can 10 women finish a work?

I. 

10 men can complete the work in 6 days.

II. 

10 men and 10 women together can complete the work in 3 3 days
7

 III. 

If 10 men work for 3 days and thereafter 10 women replace them, the remaining work in completed in 4 days.

[A]. Any two of the three
[B]. I and II only
[C]. II and III only
[D]. I and III only
[E]. None of these

Answer: Option A

Explanation:

  I. (10 x 6) men can complete the work in 1 day.

      1 man's 1 day's work = 1
60


 II. 10 x 24 men + 10 x 24 women can complete the work in 1 day.
7 7

      240 men's 1 day work + 240 women's 1 day work = 1.
7 7

      240 x 1 + 240 women's 1 day's work = 1.
7 60 7

      240 women's 1 day's work = 1 - 4 = 3
7 7 7

      10 women's 1 day's work = 3 x 7 x 10 = 1
7 240 8

      So, 10 women can finish the work in 8 days.


III. (10 men's work for 3 days) + (10 women's work for 4 days) = 1

      (10 x 3) men's 1 day's work + (10 x 4) women's 1 day's work = 1

      30 men's 1 day's work + 40 women's 1 day's work = 1


      Thus, I and III will give us the answer.

      And, II and III will give us the answer.

      Correct answer is (A).


Sapna Sahoo said: (Dec 30, 2013)  
I am preparing for gate exam so I want to solve some other question related to time and distance and their solution and also know the short tricks to solve question in short time.

Nikhil said: (Oct 6, 2014)  
I think even 1 and 2 statements will also give the answer.

Venkat said: (May 28, 2015)  
How 2 & 3 give the answer? Could you please explain me?

Reshu said: (Nov 6, 2015)  
1 men's 1 day work = 1/10*6 = 1/60.

(10 men + 10 women)'s 1 day work = 7/24.

1/10*6*10 + 10 women = 7/4.

So 10 women's 1 day work = 7/4-1/6 = 3/24 = 1/8.

Vasu said: (Feb 9, 2016)  
Good explanation.

Anil said: (Jul 29, 2016)  
By using 1st option how we can solve the problem?

Simar said: (Aug 22, 2016)  
@Reshu.

In your answer to solve 2&3, you are using 1 men's 1-day work = 1/60.

I think this is derived from statement 1. Other statements are not mentioning this. So why this used here in solution?

Amarjeet said: (Oct 14, 2016)  
A contractor estimates that he will employ 20 men to build a tank and complete works in 10 days. After working 3 days together 5 men return back. How many days more will the remaining men take to complete work.

Please help me to answer this.

Purushottam said: (Oct 27, 2016)  
@Amarjee.

20 men, 1 day work = 1/10.
20 men, 3 day work = 3/10.
Remaining work = 1 - 3/10 = 7/10.

Now we take 1 men, 1 day work = 1/60,
Now 5 men return back therefore only 15 men will present.
Now 15 men, 1 day work = 15/200.

Therefore to complete remaining 7/10 work number of days are = (7/10) * (200/15) = 28/3 days.

Vasavi Sreenivas said: (Jan 20, 2018)  
Hello everyone.

In the question, they asked 10 women can finish the work in how many days?

1st option it gives only about the men na. How come women days can be obtained?

Samvid said: (Aug 17, 2018)  
I think the 1st statement must be used. Along with 1st statement, you can use either statement 2 or statement 3 to get the answer. So, in this case, answer should be E.

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