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:

P and Q can do a project in 60 and 30 days respectively. In how many days can they complete 90% of the project if they work together?

A) 9 days B) 27 days
C) 36 days D) 18 days
 
Answer & Explanation Answer: D) 18 days

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1 1962
Q:

Amar is 2 times as good a workman as Badal and therefore is able to finish a job in 15 days less than Badal. In how many days can they together complete the job?

A) 30 days B) 40 days
C) 10 days D) 20 days
 
Answer & Explanation Answer: C) 10 days

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3 1961
Q:

Sashi can do a piece of work in 20 days. Tanya is 25% more efficient than Sashi. The number of days taken by Tanya to do the same piece of work is:

A) 15 B) 16
C) 18 D) 25
 
Answer & Explanation Answer: B) 16

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1 1961
Q:

A,B and C contract a work for Rs. 440. Together A and B are to do 9/11 of the work. The share of C should be:

A) 75 B) 90
C) 100 D) 80
 
Answer & Explanation Answer: D) 80

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0 1957
Q:

Mahanath works 2 times as fast as Sahay. If Sahay can complete a job alone in 21 days, then in how many days can they together finish the job?

A) 7 days B) 6 days
C) 5 days D) 2 days
 
Answer & Explanation Answer: A) 7 days

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0 1954
Q:

Sumit is 28% less efficient than Amit. If Amit can make a wall in 54 days, then Sumit can complete the same work in how many days?

 

A) 75 B) 70
C) 72 D) 76
 
Answer & Explanation Answer: A) 75

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1 1950
Q:

A can do a work in 36 days and B in 12 days. If they work on it together for 3 days, then what fraction of work is left?

A) 2/3 B) 1/3
C) 1/4 D) 1/5
 
Answer & Explanation Answer: A) 2/3

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3 1945
Q:

Pramod can paint a wall red in 12 hours while Brajen can whitewash the wall completely in 16 hrs. If Pramod and Brajen work alternately for an hour each starting when the wall has just cement on it till when it is completely painted red, how many hours will it take to paint the entire wall red?

 

A) 89 B) 96
C) 48 D) 95
 
Answer & Explanation Answer: A) 89

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4 1943