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

If 15 persons can do a job in 30 days, then 30 persons with twice the efficiency can do the same job in how many days?

A) 7	B) 3.5
C) 5	D) 7.5

A) 7

B) 3.5

C) 5

D) 7.5

Answer & Explanation Answer: D) 7.5

Explanation:

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3 1289

P and Q can do a project in 20 and 12 days respectively. In how many days can they complete 40% of the project if they work together?

A) 1.5 days	B) 3 days
C) 6 days	D) 9 days

A) 1.5 days

B) 3 days

C) 6 days

D) 9 days

Answer & Explanation Answer: C) 6 days

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3 1286

10 persons can do a job in X days. If 20 persons with twice the efficiency can do the same job in 5 days, then find the value of X?

A) 40	B) 15
C) 20	D) 30

A) 40

B) 15

C) 20

D) 30

Answer & Explanation Answer: C) 20

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0 1284

If Mr. Raghav taught a total of 500 hours, then what is the difference in number of hours of teaching algebra and modern Maths?

A) 15	B) 20
C) 25	D) 40

A) 15

B) 20

C) 25

D) 40

Answer & Explanation Answer: C) 25

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3 1282

A can do 1/3rd of a work in 5 days and B can do 2/5th of this work in 10 days. Both A and B, together can do the work in

A) 7 3/8 days	B) 8 4/5 days
C) 9 3/8 days	D) 10 days

A) 7 3/8 days

B) 8 4/5 days

C) 9 3/8 days

D) 10 days

Answer & Explanation Answer: C) 9 3/8 days

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1 1282

A can do a work in 16 days and B in 20 days. If they work on it together for 8 days, then what fraction of work is left?

A) 1/3	B) 1/6
C) 2/9	D) 1/10

A) 1/3

B) 1/6

C) 2/9

D) 1/10

Answer & Explanation Answer: D) 1/10

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Exam Prep: Bank Exams , CAT

0 1281

A can make a cupboard in 10 days and B can do it in 50 days. Along with C, they did the job in 6.25 days only. Then in how many days C alone can do the job?

A) 20	B) 25
C) 16	D) 15

A) 20

B) 25

C) 16

D) 15

Answer & Explanation Answer: B) 25

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4 1271

Working 5 hours a day, Shivam can read a book in 24 days. How many hours a day should he work so as to finish the same work in 8 days?

A) 12	B) 18
C) 15	D) 21

A) 12

B) 18

C) 15

D) 21

Answer & Explanation Answer: C) 15

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