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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 = $\frac{100}{E f f i c i e n c y}$

Ganesh, Ram and Sohan together can complete a work in 16 days. If Ganesh and Ram together can complete the same work in 24 days. The number of days Sohan alone takes, to finish the work is

A) 40	B) 48
C) 32	D) 30

A) 40

B) 48

C) 32

D) 30

Answer & Explanation Answer: B) 48

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1 1356

Abhinav is 2 times as good a workman as Balwant and therefore is able to finish a job in 36 days less than Balwant. Working together, they can do it in

A) 12 days	B) 6 days
C) 18 days	D) 24 days

A) 12 days

B) 6 days

C) 18 days

D) 24 days

Answer & Explanation Answer: D) 24 days

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0 1351

A work can be completed by 28 women in 36 days. If 4 women leave after working for 18 days, then how many days will be needed to complete the remaining work?

A) 24	B) 21
C) 27	D) 25

A) 24

B) 21

C) 27

D) 25

Answer & Explanation Answer: B) 21

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1 1340

12 men complete a work in 9 days. After they have worked for 6 days, 6 more men join them. How many days will they take to complete the remaining work?

A) 2	B) 3
C) 4	D) 5

A) 2

B) 3

C) 4

D) 5

Answer & Explanation Answer: A) 2

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3 1334

Akka can bake 100 cakes in 20 hours, Akka and Tai together can bake 75 cakes in 10 hours. How many cakes Tai can bake in 20 hours?

A) 25	B) 50
C) 30	D) 75

A) 25

B) 50

C) 30

D) 75

Answer & Explanation Answer: B) 50

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1 1331

S does half as much work as T in 1/7 of the time taken by T. If together they take 21 days to complete a work, then how may days shall S take to complete that work alone?

A) 26	B) 27
C) 28	D) 32

A) 26

B) 27

C) 28

D) 32

Answer & Explanation Answer: B) 27

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3 1331

Smita can finish a work in 12 days and Sam can finish the same work in 9 days. After working together for 4 days they both leave the job. What is the fraction of unfinished work?

A) 2/9	B) 1/4
C) 1/2	D) 7/9

A) 2/9

B) 1/4

C) 1/2

D) 7/9

Answer & Explanation Answer: A) 2/9

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0 1326

Robin can do a work in 10 hours. Pradeep and Robin together can do the same work in 4 hours. Pradeep and Nitin together can do the samework in 5 hours. In how many hours Nitin alone can complete the same work?