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

Two labourers A and B are paid a total of Rs. 750 per day. If A is paid 150 percent of what is paid to B, how much (in Rs) is B paid?

A) 450	B) 250
C) 300	D) 500

A) 450

B) 250

C) 300

D) 500

Answer & Explanation Answer: C) 300

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1 1754

A can do a work in 20 days and B in 10 days. If they work on it together for 5 days, then what fraction of work is left.

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

A) 4/9

B) 1/4

C) 1/5

D) 2/9

Answer & Explanation Answer: B) 1/4

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0 1752

Some carpenters promised to do a job in 15 days but 3 of them were absent and remaining did the job in 20 days. What was the original number of carpenters?

A) 10	B) 15
C) 12	D) 14

A) 10

B) 15

C) 12

D) 14

Answer & Explanation Answer: C) 12

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2 1752

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 1750

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 1749

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 1748

Pankaj has done 1/2 of a job in 12 days, Sainath completes the rest of the job in 6 days. In how many days can they together do the job?

A) 4 days	B) 12 days
C) 8 days	D) 16 days

A) 4 days

B) 12 days

C) 8 days

D) 16 days

Answer & Explanation Answer: C) 8 days

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1 1734

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