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:

S does half as much work as T in 1/7 of the time taken by T. If together they take 21 days to complete a work, then how may days shall S take to complete that work alone?

 

 

A) 26   B)  27  
C) 28   D) 32
 
Answer & Explanation Answer: B)  27  

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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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Q:

X does 25% of a work in 20 days. Y joins X and they together finish the remaining work in 15 days. Y alone can do the whole work in ___ days.

 

A) 30 days B) 25 1/2 days
C) 26 2/3 days D) 26 1/5 days
 
Answer & Explanation Answer: C) 26 2/3 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:

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:

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:

A certain number of men agreed to do a work in 20 days. 5 men did not come for work. Others completed the work in 40 days. Find the number of men who had agreed to do the work originally.

A) 8 B) 10
C) 12 D) 15
 
Answer & Explanation Answer: B) 10

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Q:

P and Q undertook to do a work for Rs 7200. P alone could do it in 20 days and Q alone in 12 days. With the assistance of R they finished the work in 5days. What is the share (in Rs) of R?

 

A) 1800   B) 2400  
C) 2800   D) 2600
 
Answer & Explanation Answer: B) 2400  

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