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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 A alone can do a job in 40 days then, in how many days can B alone do the job if together they can do the job in 8 days?

A) 15	B) 10
C) 20	D) 25

A) 15

B) 10

C) 20

D) 25

Answer & Explanation Answer: B) 10

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1 647

Arjun and Anurag complete a job in 6 days and 7 days respectively. They worked together and earned a total of Rs. 780. Find Arjun's share in this amount in Rs. ?

A) 490	B) 560
C) 350	D) 420

A) 490

B) 560

C) 350

D) 420

Answer & Explanation Answer: D) 420

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2 643

B is thrice as efficient as A and C is 0.75 times as efficient as A. What is the ratio of number of days taken by A, B and C when they work individually?

A) 4:1:3	B) 3:1:4
C) 2:3:1	D) 5:1:2

A) 4:1:3

B) 3:1:4

C) 2:3:1

D) 5:1:2

Answer & Explanation Answer: B) 3:1:4

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0 632

A can do a work in 15 days and B in 20 days. If they work on it together for 6 days, then what fraction of work is left?

A) 1/4	B) 2/9
C) 1/5	D) 3/10

A) 1/4

B) 2/9

C) 1/5

D) 3/10

Answer & Explanation Answer: D) 3/10

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0 625

Rahul can complete a work in 18 days and Sonu can complete the same work in 15 days. If both together work for 5 days, then what part of total work is left?

A) 7/15	B) 11/18
C) 7/18	D) 8/15

A) 7/15

B) 11/18

C) 7/18

D) 8/15

Answer & Explanation Answer: C) 7/18

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0 614

X can complete 5/7 part of a work in 10 days and Y can complete 3/4 part of the same work in 9 days. In how many days will both complete 13/21 part of the total work?

A) 6	B) 4
C) 3	D) 12

A) 6

B) 4

C) 3

D) 12

Answer & Explanation Answer: B) 4

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1 603

Arun and Amit can do a piece of work in 9 days and 12 days respectively. If they work for alternate days and Amit starts the work first, then in how many days 35/36 parts of whole work will be completed?

A) 10 days	B) 12 days
C) 5 days	D) 8 days

A) 10 days

B) 12 days

C) 5 days

D) 8 days

Answer & Explanation Answer: A) 10 days

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4 594

S does half as much work as T in 1/7 of the time taken by T. If together they take 21 days to complete a work, then how may days shall S take to complete that work alone?