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:

Manoj can do a piece of work in 42 hours. If he is joined by Jayashree who is 100% more efficient, in what time they will finish the work together?

A) 7 hours B) 3.5 hours
C) 14 hours D) 2.5 hours
 
Answer & Explanation Answer: C) 14 hours

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0 1942
Q:

A can do as much work in 4 days as B can do in 5, and B can do as much work in 6 days as C in 7. In what time will C do a piece of work which A can do in a week ?

A) 10 5/24 days B) 4 4/5 days
C) 6 8/15 days D) 12 6/19 days
 
Answer & Explanation Answer: A) 10 5/24 days

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0 1940
Q:

A can complete a task alone in 8 days, while B takes 12 days to do it by herself. Together with C it takes them 4 days to complete the work. If C and D together can complete the task in 15 days, then how many days will D need to complete the task by herself?

A) 36 B) 32
C) 40 D) 30
 
Answer & Explanation Answer: C) 40

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2 1939
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 1918
Q:

A can do 75% of a job in 9 days and B can do half of the job in 8 days. If they work on it together, then in how many days can they do half of the job?

A) 40/7 B) 24/7
C) 7/2 D) 9/2
 
Answer & Explanation Answer: B) 24/7

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3 1918
Q:

If 10 people can do a job in 20 days,then 20 people with twice the efficiency can do the same job in

A) 5 days B) 10 days
C) 20 days D) 40 days
 
Answer & Explanation Answer: A) 5 days

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4 1916
Q:

Makarand works 2 times as fast as Samarjit. If Samarjit can complete a job alone in 27 days, then in how many days can they together finish the job?

A) 6 days B) 7 days
C) 5 days D) 9 days
 
Answer & Explanation Answer: D) 9 days

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0 1910
Q:

35 persons are engaged to complete a work in 60 days. After 32 days it is observed that only (2/5)th part of the work has been done. The number of persons to be engaged to complete the remaining work in the said period is

A) 20 B) 35
C) 30 D) 25
 
Answer & Explanation Answer: D) 25

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2 1909