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

A can do a work in 20 days and B in 10 days. If they work on it together for 5 days, then what fraction of work is left.

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

A) 4/9

B) 1/4

C) 1/5

D) 2/9

Answer & Explanation Answer: B) 1/4

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0 753

Working together P, Q and R reap a field in 6 days. If P can do it alone in 10 days and Q in 24 days, in how many days will R alone be able to reap the field?

A) 32 days	B) 40 days
C) 45 days	D) 60 days

A) 32 days

B) 40 days

C) 45 days

D) 60 days

Answer & Explanation Answer: B) 40 days

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1 745

Munni can bake 70 cakes in 7 hours, Munni and Guddi together can bake 90 cakes in 6 hours. How many cakes Guddi can bake in 10 hours?

A) 100	B) 50
C) 125	D) 25

A) 100

B) 50

C) 125

D) 25

Answer & Explanation Answer: B) 50

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0 744

A can do a piece of work in 9 days while B can do it in 12 days. A and B together can do the work in

A) 5 1/7 days	B) 5 2/7 days
C) 6 1/7 days	D) 6 2/7 days

A) 5 1/7 days

B) 5 2/7 days

C) 6 1/7 days

D) 6 2/7 days

Answer & Explanation Answer: A) 5 1/7 days

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1 742

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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0 741

G is twice as fast as S in doing work. If G can do a work in 30 days less than S, how many days will they take to complete the work together?

A) 25	B) 20
C) 22	D) 15

A) 25

B) 20

C) 22

D) 15

Answer & Explanation Answer: B) 20

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5 741

A can do a piece of work in 8 days and B can do it in 10 days seperately. How many days would it take for both A and B to finish the same work together?