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 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:

Ram is thrice as fast as Mohan and Nohan is twice as fast as Sohan. The distance covered by Sohan in 42 minutes will be covered by Mohan in

 

A) 18 min B) 21 min
C) 20 min D) 22 min
 
Answer & Explanation Answer: B) 21 min

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Q:

Some girls can do a piece of work in 18 days. In how much time (in days) two times the number of such girls will complete thrice of the work?

 

A) 12 B) 27
C) 21 D) 24
 
Answer & Explanation Answer: B) 27

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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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