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

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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0 749

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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0 619

A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?

A) 75 days	B) 37.5 days
C) 17.5 days	D) 35 days

A) 75 days

B) 37.5 days

C) 17.5 days

D) 35 days

Answer & Explanation Answer: B) 37.5 days

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0 1065

Mahanath works 2 times as fast as Sahay. If Sahay can complete a job alone in 21 days, then in how many days can they together finish the job?

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

A) 7 days

B) 6 days

C) 5 days

D) 2 days

Answer & Explanation Answer: A) 7 days

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0 962

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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0 750

Makarand works 2 times as fast as Samarjit. If Samarjit can complete a job alone in 27 days, then in how many days can they together finish the job?

A) 6 days	B) 7 days
C) 5 days	D) 9 days

A) 6 days

B) 7 days

C) 5 days

D) 9 days

Answer & Explanation Answer: D) 9 days

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0 1017

Murad can do a piece of work in 33 hours. If he is joined by Joel who is 100% more efficient, in what time will they together finish the work?

A) 4 hours	B) 6 hours
C) 2 hours	D) 11 hours

A) 4 hours

B) 6 hours

C) 2 hours

D) 11 hours

Answer & Explanation Answer: D) 11 hours

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0 1353

A, B and C together can complete a work in 25 days. If the ratio of efficiency of A, B and C is 15 : 10 : 6 respectively, then in how many days C alone can complete the same work?