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

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

Explanation:

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1 1600

X can complete a task in 8 days, whereas Y can complete the same task in 10 days. If they work together, in how many days will the task be completed?

A) 40/9	B) 9/40
C) 44/9	D) 9/44

A) 40/9

B) 9/40

C) 44/9

D) 9/44

Answer & Explanation Answer: A) 40/9

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1 1593

Abhinav is 2 times as good a workman as Balwant and therefore is able to finish a job in 36 days less than Balwant. Working together, they can do it in

A) 12 days	B) 6 days
C) 18 days	D) 24 days

A) 12 days

B) 6 days

C) 18 days

D) 24 days

Answer & Explanation Answer: D) 24 days

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0 1587

A and B together can complete a work in 24 days. B alone does 1/3rd part ofthis work in 12 days. How many days will A alone take to complete the remaining work?

A) 24	B) 36
C) 48	D) 72

A) 24

B) 36

C) 48

D) 72

Answer & Explanation Answer: C) 48

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1 1585

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 1580

Mahmood can do a piece of work in 40 hours. If he is joined by Janaki who is 50% more efficient, in what time will they together finish the work?

A) 2 hours	B) 6 hours
C) 16 hours	D) 3 hours

A) 2 hours

B) 6 hours

C) 16 hours

D) 3 hours

Answer & Explanation Answer: C) 16 hours

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3 1577

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?