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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 12 days while B can do it in 15 days. They undertake to complete it together for Rs. 450. what will be the share of A in this amount of money ?

A) Rs.200	B) Rs.240
C) Rs.250	D) Rs.300

A) Rs.200

B) Rs.240

C) Rs.250

D) Rs.300

Answer & Explanation Answer: C) Rs.250

Explanation:

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0 1617

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 1617

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 1616

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 1615

If Data Interpretation and Modern Maths were taught for a combined time of 96 hours, then for how much time (in hours) were Number system and Geometry
taught?

A) 136	B) 184
C) 216	D) 232

A) 136

B) 184

C) 216

D) 232

Answer & Explanation Answer: D) 232

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1 1607

Some carpenters promised to do a job in 15 days but 3 of them were absent and remaining did the job in 20 days. What was the original number of carpenters?

A) 10	B) 15
C) 12	D) 14

A) 10

B) 15

C) 12

D) 14

Answer & Explanation Answer: C) 12

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2 1607

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?