Time and Work Questions

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 =1n

2. If A’s 1 day's work =1n, 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 : 

Efficiency1No of time units

 

 Efficiency × Time = Constant Work

 

Hence, Required time = WorkEfficiency

 

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 = 100Efficiency

Q:

Manish, Mukesh and Sachin are Accountants. Mukesh can filea return in 5 hours and Sachin in 4 hours alone. All three together can do it in 2 hours. In what time (in hrs) will Manish do the work?

A) 15 B) 20
C) 17 D) 10
 
Answer & Explanation Answer: B) 20

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2 1981
Q:

A piece of work was finished by A, B and C together. A and B together finished 60% of the work and B and C together finished 70% of the work. Who among the three is most efficient?

A) A B) B
C) C D) None
 
Answer & Explanation Answer: C) C

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1 1974
Q:

Type 1 workers can do three times the work of 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 8 Type 2 workers to complete the same task?

A) 16 B) 17
C) 20 D) 18
 
Answer & Explanation Answer: D) 18

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0 1962
Q:

24 men can repair a road in 50 days. If they are joined by 16 more men, then in how much time (in days) the road can be repaired?

A) 28 B)  25
C) 32 D) 30
 
Answer & Explanation Answer: D) 30

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1 1961
Q:

Manish is four times as efficient as Puneet. Manish takes 90 days less than Puneet to complete a book. If both of them work together, then in how many days the book will be completed?

A) 28 B) 25
C) 24 D) 30
 
Answer & Explanation Answer: C) 24

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3 1960
Q:

A can do a work in 20 days and B in 50 days. If they work on it together for 5 days, then what fraction of work is left?

A) 13/20 B) 1/3
C) 1/6 D) 2/9
 
Answer & Explanation Answer: A) 13/20

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4 1955
Q:

9 women can complete a work in 50 days. If more 6 women were added to them, how many days before the work can be completed?

A) 30 B) 20
C) 15 D) 25
 
Answer & Explanation Answer: B) 20

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10 1951
Q:

X, Y and Z can do a piece of work in 30,40 and 50 days respectively. All three of them began the work together but Y left 4 days before completion of the work. In how many days was the work completed?

A) 660/47 B) 640/47
C) 680/47 D) 665/47
 
Answer & Explanation Answer: A) 660/47

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1 1944