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Quantitative Aptitude - Arithmetic Ability/
Time and Work

Time and Work Questions

Popular Latest Rated Important Formulae

FACTS AND FORMULAE FOR TIME AND WORK QUESTIONS

1. If A can do a piece of work in n days, then A's 1 day's work = $\frac{1}{n}$

2. If A’s 1 day's work = $\frac{1}{n}$ , then A can finish the work in n days.

3. A is thrice as good a workman as B, then:

Ratio of work done by A and B = 3 : 1.

Ratio of times taken by A and B to finish a work = 1 : 3.

NOTE :

$E f f i c i e n c y \propto \frac{1}{N o o f t i m e u n i t s}$

$∴ E f f i c i e n c y \times T i m e = C o n s \tan t W o r k$

Hence, $R e q u i r e d t i m e = \frac{W o r k}{E f f i c i e n c y}$

Whole work is always considered as 1, in terms of fraction and 100% , in terms of percentage.

In general, number of day's or hours = $\frac{100}{E f f i c i e n c y}$

A, B and C can complete a task together in 10 days. A and B would need 12 days if only the two of them worked, while B and C would take 20 days if only the two of them worked. If B worked alone, how many days would she take to complete the task?

A) 30	B) 22
C) 45	D) 20

A) 30

B) 22

C) 45

D) 20

Answer & Explanation Answer: A) 30

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1 1153

A can do a work in 15 days and B in 20 days. If they work on it together for 6 days, then what fraction of work is left?

A) 1/4	B) 2/9
C) 1/5	D) 3/10

A) 1/4

B) 2/9

C) 1/5

D) 3/10

Answer & Explanation Answer: D) 3/10

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0 1149

P and Q undertook to do a work for Rs 7200. P alone could do it in 20 days and Q alone in 12 days. With the assistance of R they finished the work in 5days. What is the share (in Rs) of R?

A) 1800	B) 2400
C) 2800	D) 2600

A) 1800

B) 2400

C) 2800

D) 2600

Answer & Explanation Answer: B) 2400

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3 1138

Some girls can do a piece of work in 18 days. In how much time (in days) two times the number of such girls will complete thrice of the work?

A) 12	B) 27
C) 21	D) 24

A) 12

B) 27

C) 21

D) 24

Answer & Explanation Answer: B) 27

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0 1128

Atul and Binay together complete a piece of work in 5 days. If Binay alone can complete the same work in 8 days, how many days Atul take to complete the same work alone?

A) 40/3 days	B) 20/3 days
C) 9 days	D) 10 days

A) 40/3 days

B) 20/3 days

C) 9 days

D) 10 days

Answer & Explanation Answer: A) 40/3 days

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2 1126

If 7 spiders make 7 webs in 7 days , then 1 spider will make 1 web in how many days ?

A) 1	B) 7/2
C) 7	D) 49

A) 1

B) 7/2

C) 7

D) 49

Answer & Explanation Answer: C) 7

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1 1116

Ram is thrice as fast as Mohan and Nohan is twice as fast as Sohan. The distance covered by Sohan in 42 minutes will be covered by Mohan in

A) 18 min	B) 21 min
C) 20 min	D) 22 min

A) 18 min

B) 21 min

C) 20 min

D) 22 min

Answer & Explanation Answer: B) 21 min

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1 1114

A piece of work can be done by 16 men in 8 days working 12 hours a day. How many men are needed to complete another work, which is three times the first one, in 24 days working 8 hours a day?