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

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

A) 24 days	B) 20 days
C) 18 days	D) 25 days

A) 24 days

B) 20 days

C) 18 days

D) 25 days

Answer & Explanation Answer: A) 24 days

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3 1647

Ajit is two times as good a workman as Badrinath and therefore is able to finish a job in 30 days less than Badrinath. Working together, they can do it in

A) 10 days	B) 30 days
C) 15 days	D) 20 days

A) 10 days

B) 30 days

C) 15 days

D) 20 days

Answer & Explanation Answer: D) 20 days

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2 1646

Mr. Raghav taught Geometry for 36 hours. If the time taken in teaching Ratio consitutes one-fourth of the time for Arithmetic, then for how much time (in hours) did he taught the topic of Ratio?

A) 46	B) 51.75
C) 69	D) 103.5

A) 46

B) 51.75

C) 69

D) 103.5

Answer & Explanation Answer: C) 69

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1 1645

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 1638

A can do a piece of work in 20 days and B in 15 days. With help of C, they finish the work in 5 days. C can alone do the work in

A) 5 days	B) 6 days
C) 10 days	D) 12 days

A) 5 days

B) 6 days

C) 10 days

D) 12 days

Answer & Explanation Answer: D) 12 days

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0 1637

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 1635

Mummy can bake 75 cakes in 15 hours, Mummy and Sister together can bake 120 cakes in 20 hours. How many cakes Sister can bake in 30 hours?

A) 45	B) 30
C) 60	D) 10

A) 45

B) 30

C) 60

D) 10

Answer & Explanation Answer: B) 30

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0 1630

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?