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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 1395

Mahmood can do a piece of work in 40 hours. If he is joined by Janaki who is 50% more efficient, in what time will they together finish the work?

A) 2 hours	B) 6 hours
C) 16 hours	D) 3 hours

A) 2 hours

B) 6 hours

C) 16 hours

D) 3 hours

Answer & Explanation Answer: C) 16 hours

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3 1393

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 1380

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 1379

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 1378

A school has 8 periods of 45 minutes each, every day. How long will each period be if the school has to have 9 periods everyday, assuming the working hours to be the same?

A) 40 min	B) 35 min
C) 30 min	D) 45 min

A) 40 min

B) 35 min

C) 30 min

D) 45 min

Answer & Explanation Answer: A) 40 min

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1 1376

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 1370

10 people can build a wall in 12 days. Six people, each only half as efficient as those in the first group, will be able to complete 3/5 of such a wall in