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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

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

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

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.

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.

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