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

24 men can repair a road in 50 days. If they are joined by 16 more men, then in how much time (in days) the road can be repaired?

A) 28	B) 25
C) 32	D) 30

A) 28

B) 25

C) 32

D) 30

Answer & Explanation Answer: D) 30

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1 1873

M can complete 3/4 part of a work in 12 days and N can complete 2/7 part of the same work in 8 days. In how many days will both complete 11/14 part of the total work?

A) 8	B) 9
C) 7	D) 6

A) 8

B) 9

C) 7

D) 6

Answer & Explanation Answer: A) 8

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Exam Prep: Bank Exams , CAT

0 1865

Manish is four times as efficient as Puneet. Manish takes 90 days less than Puneet to complete a book. If both of them work together, then in how many days the book will be completed?

A) 28	B) 25
C) 24	D) 30

A) 28

B) 25

C) 24

D) 30

Answer & Explanation Answer: C) 24

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3 1857

20 boys do one fourth of work in 25 days. How many more boys will be required to complete the remaining work in 50 days?

A) 8	B) 10
C) 15	D) 20

A) 8

B) 10

C) 15

D) 20

Answer & Explanation Answer: B) 10

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5 1849

Vikram and Vivek can finish a work in 50 days. They worked together for 20 days and then left. How much work has been done by them?

A) 3/5	B) 1/3
C) 1/2	D) 2/5

A) 3/5

B) 1/3

C) 1/2

D) 2/5

Answer & Explanation Answer: D) 2/5

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5 1846

Manish, Mukesh and Sachin are Accountants. Mukesh can filea return in 5 hours and Sachin in 4 hours alone. All three together can do it in 2 hours. In what time (in hrs) will Manish do the work?

A) 15	B) 20
C) 17	D) 10

A) 15

B) 20

C) 17

D) 10

Answer & Explanation Answer: B) 20

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2 1846

If 5 person together can make 5 mats in 5 hrs, then 10 person in 10 hours will make

A) 20 mats	B) 10 mats
C) 15 mats	D) 5 mats

A) 20 mats

B) 10 mats

C) 15 mats

D) 5 mats

Answer & Explanation Answer: A) 20 mats

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4 1839

A, B and C can finish a job working alone in 12, 8 and 24 days respectively. In how many days they can finish the job if they worked together?

A) 5	B) 6
C) 4	D) 3

A) 5

B) 6

C) 4

D) 3

Answer & Explanation Answer: C) 4

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3 1839

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