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

Manoj can do a piece of work in 42 hours. If he is joined by Jayashree who is 100% more efficient, in what time they will finish the work together?

A) 7 hours	B) 3.5 hours
C) 14 hours	D) 2.5 hours

A) 7 hours

B) 3.5 hours

C) 14 hours

D) 2.5 hours

Answer & Explanation Answer: C) 14 hours

Explanation:

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0 1840

Sumit is 28% less efficient than Amit. If Amit can make a wall in 54 days, then Sumit can complete the same work in how many days?

A) 75	B) 70
C) 72	D) 76

A) 75

B) 70

C) 72

D) 76

Answer & Explanation Answer: A) 75

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1 1834

Anil is twice as good as workman as Bimal and together they finish a piece of work in 9 days. In how many days will Anil alone finish the work?

A) 12.5	B) 11.5
C) 10.5	D) 13.5

A) 12.5

B) 11.5

C) 10.5

D) 13.5

Answer & Explanation Answer: D) 13.5

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2 1832

A can do a work in 36 days and B in 12 days. If they work on it together for 3 days, then what fraction of work is left?

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

A) 2/3

B) 1/3

C) 1/4

D) 1/5

Answer & Explanation Answer: A) 2/3

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3 1823

P can make a table in 16 days while Q can make it in 20 days. Q started the work and did that work for 5 days. In how many days P can complete the remaining work?

A) 10	B) 12
C) 15	D) 18

A) 10

B) 12

C) 15

D) 18

Answer & Explanation Answer: B) 12

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3 1822

A and B can together complete a task in 18 hours. After 6 hours A leaves. B takes 36 hours to finish rest of the task. How many hours would A have taken to do the task if he worked alone?

A) 54	B) 45
C) 21	D) 27

A) 54

B) 45

C) 21

D) 27

Answer & Explanation Answer: D) 27

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7 1821

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?