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:

A can paint a house in 55 days and B can do it in 66 days. Along with C, they did the job in 12 days only. Then, C alone can do the job in how many days?

A) 24 B) 44
C) 33 D) 20
 
Answer & Explanation Answer: D) 20

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0 1959
Q:

Working together A and B can do a job in 40 days, B and C in 36 days and all three together in 24 days. In how many days can B alone do the job?

A) 60 B) 90
C) 72 D) 120
 
Answer & Explanation Answer: B) 90

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2 1959
Q:

P, Q and R alone can complete a work in 12, 15 and 20 days respectively. In how many days will they together complete the same work?

 

A) 4 B)  5  
C)  6   D) 3.5
 
Answer & Explanation Answer: D) 3.5

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5 1959
Q:

A and B together do a job in 6.75 days and A could do the job in 9 days if he worked alone. How many days would B take to do the job if he worked alone?

A) 27 B) 18
C) 24 D) 21
 
Answer & Explanation Answer: A) 27

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3 1951
Q:

Five women can do a work in 36 days. If the ratio between the capacity of a man and a woman is 3:1, then find how many days it will take 5 men to complete the same woek?

A) 12 days B) 15 days
C) 18 days D) 108 days
 
Answer & Explanation Answer: A) 12 days

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1 1941
Q:

A can do a work in 21 days and B in 42 days. If they work on it together for 7 days, then what fraction of work is left?

A) 1/3 B) 1/4
C) 2/3 D) 1/2
 
Answer & Explanation Answer: D) 1/2

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0 1926
Q:

Pradeep has done 1/4th of a job in 14 days, Saquib completes the rest of the job in 56 days. In how many days can they together complete the job?

A) 64 days B) 32 days
C) 16 days D) 8 days
 
Answer & Explanation Answer: B) 32 days

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1 1916
Q:

A and B together can complete a task in 12 days. However, if A works alone, completes half the job and leaves and then B works alone and competes the rest of the work, it takes 25 days in all to complete the work. If B is more efficient than A, how many days would it have taken B to do the work by herself?

A) 18 B) 22
C) 20 D) 15
 
Answer & Explanation Answer: C) 20

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2 1909