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 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 =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 : 

Efficiency∝1No 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 piece of work can be done by 16 men in 8 days working 12 hours a day. How many men are needed to complete another work, which is three times the first one, in 24 days working 8 hours a day?

A) 24 men B) 22 men
C) 23 men D) 25 men
 
Answer & Explanation Answer: A) 24 men

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Q:

10 people could complete a task in 8 days. After 4 days, 2 of the workers left. How many days from then did it take to complete the task?

A) 7 B) 8
C) 6 D) 5
 
Answer & Explanation Answer: C) 6

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Q:

If 8 men can do a piece of work in 14 days, then in how much time (in days) will 7 men do the same piece of work?

 

A) 16 B) 15
C) 17 D) 18
 
Answer & Explanation Answer: A) 16

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Q:

4 men can build a small house in 12 days. How long would it take for 6 men to build the same house?

A) 9 days B) 8 days
C) 8.1 days D) 8.2 days
 
Answer & Explanation Answer: B) 8 days

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Q:

R is 80% more efficient than S. If S alone can make a book in 90 days, then R alone can make the book in how many days?

 

 

A) 65 B) 60
C) 50 D) 70
 
Answer & Explanation Answer: C) 50

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Q:

A and B can complete a piece of work in 10 days and 15 days respectively. B starts the work and is joined by A after 5 days. If they earn a total of Rs. 60, what are their individual shares?

A) Rs.24, Rs.36 B) Rs.30, Rs.30
C) Rs.20, Rs.40 D) Rs.25, Rs.35
 
Answer & Explanation Answer: A) Rs.24, Rs.36

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Q:

If 60 boys can finish a work in 15 days by working 8 hours a day, then how many hours a day should 72 boys work to finish that work within 20 days?

 

A) 4 B) 6
C) 5 D) 7
 
Answer & Explanation Answer: C) 5

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