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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 finish a work in 18 days and B in 36 days. If they work on it together for 9 days, then what percent of work is left?

A) 33.3	B) 20
C) 75	D) 25

A) 33.3

B) 20

C) 75

D) 25

Answer & Explanation Answer: D) 25

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6 2829

Type 1 workers are 2.5 times as efficient as type 2 workers. Twelve Type 1 workers can complete a task in 10 days. How many days would it have taken 4 Type 1 and 15 Type 2 workers to do the same work?

A) 13	B) 10
C) 12	D) 11

A) 13

B) 10

C) 12

D) 11

Answer & Explanation Answer: D) 11

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5 2829

P can do a work in 10 days. Q can do the same work in 15 days. If they work together for 5 days, how much of the work will they complete?

A) 1/2	B) 2/3
C) 1/3	D) 5/6

A) 1/2

B) 2/3

C) 1/3

D) 5/6

Answer & Explanation Answer: D) 5/6

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3 2822

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 2819

3 men or 4 women can complete a job in 120 days. 12 men and 16 women will complete the same job in how many days?

A) 12	B) 14
C) 15	D) 18

A) 12

B) 14

C) 15

D) 18

Answer & Explanation Answer: C) 15

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2 2807

Painter A can paint a house in 40 days and Painter B can do it in 60 days. With help of C, they did the job in 20 days only. Then, C alone can do the job in

A) 120 days	B) 100 days
C) 90 days	D) 80 days

A) 120 days

B) 100 days

C) 90 days

D) 80 days

Answer & Explanation Answer: A) 120 days

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0 2776

50 men can complete a work in 28 days. They started the work together, but at the end of each 10th day, 10 men left the job. The work was completed in how many days?