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Time and Work

J
JR JUNIOR IAS
04/12/2016 0 0
  1. A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days?
  • 3.75 days
  • 4 days
  • 5 days
  • 6 days

Answer & Explanation

Answer: Option A

Explanation:

1/6 + 1/10 = 8/30 = 4/15

15/4 = 3.75 days

  1. A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
  • 10 days
  • 20 days
  • 5 days
  • 4 days

Answer & Explanation

Answer: Option B

Explanation:

C = 1/2 - 1/4 - 1/5 = 1/20 => 20 days

 

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).

 

Directions to Solve

Each of these questions is followed by three statements. You have to study the question and all the three statements given to decide whether any information provided in the statement(s) is redundant and can be dispensed with while answering the given question.

 

 

1. 

8 men and 14 women are working together in a field. After working for 3 days, 5 men and 8 women leave the work. How many more days will be required to complete the work?

I. 

19 men and 12 women together can complete the work in 18 days.

II. 

16 men can complete two-third of the work in 16 days.

 III. 

In 1 day, the work done by three men in equal to the work done by four women.

A.

I only

B.

II only

C.

III only

D.

I or II or III

E.

II or III only

Explanation:

Clearly, I only gives the answer.

Similarly, II only gives the answer.

And, III only gives the answer.

 Correct answer is (D).

 

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