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

If 15 persons can do a job in 30 days, then 30 persons with twice the efficiency can do the same job in how many days?

A) 7	B) 3.5
C) 5	D) 7.5

A) 7

B) 3.5

C) 5

D) 7.5

Answer & Explanation Answer: D) 7.5

Explanation:

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3 650

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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1 648

Shivam is 10% less efficient than Vivek. If Vivek can make a helmet in 9 days, then in how many days Shivam can complete the same work?

A) 15	B) 12
C) 10	D) 8

A) 15

B) 12

C) 10

D) 8

Answer & Explanation Answer: C) 10

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3 645

Five men or ten women can complete a job in 20 days. In how many days can 3 men and 4 women complete it?

A) 10	B) 25
C) 15	D) 20

A) 10

B) 25

C) 15

D) 20

Answer & Explanation Answer: D) 20

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0 644

A, B and C are employed to complete a work in Rs. 784. If A and B together complete 23/28 of the work. Calculate the wages (in Rs.) paid to C?

A) 280	B) 140
C) 70	D) 56

A) 280

B) 140

C) 70

D) 56

Answer & Explanation Answer: B) 140

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0 637

Rakshanth is twice as good as tradesman as Verma and together they finish a piece of work in 19 days. In how many dayswill Verma alone finish the work?

A) 38	B) 57
C) 76	D) 50

A) 38

B) 57

C) 76

D) 50

Answer & Explanation Answer: B) 57

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3 637

Arjun and Anurag complete a job in 6 days and 7 days respectively. They worked together and earned a total of Rs. 780. Find Arjun's share in this amount in Rs. ?