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 alone can do a piece of work in 8 days and Q alone can do the same work in 10 days. In how many days will both together complete the same work?

A) 40/9 B) 20/9
C) 60/7 D) 40/7
 
Answer & Explanation Answer: A) 40/9

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Q:

A and B together can complete a task in 12 days. However, if A works alone, completes half the job and leaves and then B works alone and competes the rest of the work, it takes 25 days in all to complete the work. If B is more efficient than A, how many days would it have taken B to do the work by herself?

A) 18 B) 22
C) 20 D) 15
 
Answer & Explanation Answer: C) 20

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Q:

Manish is four times as efficient as Puneet. Manish takes 90 days less than Puneet to complete a book. If both of them work together, then in how many days the book will be completed?

A) 28 B) 25
C) 24 D) 30
 
Answer & Explanation Answer: C) 24

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Q:

A, B and C can complete the work in 4, 5 and 6 hours respectively. If they all work together and receive Rs. 777 as wages then find the share of A.

A) Rs. 300 B) Rs. 315
C) Rs. 326 D) Rs. 175
 
Answer & Explanation Answer: B) Rs. 315

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Q:

X, Y and Z can do a piece of work in 30, 40 and 50 days respectively. All three of them began the work together but Y left 4 days before completion of the work. In how many days was the work completed?

A) 660/47 B) 640/47
C) 680/47 D) 665/47
 
Answer & Explanation Answer: A) 660/47

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Q:

Ganesh, Ram and Sohan together can complete a work in 16 days. If Ganesh and Ram together can complete the same work in 24 days. The number of days Sohan alone takes, to finish the work is

A) 40 B) 48
C) 32 D) 30
 
Answer & Explanation Answer: B) 48

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Q:

Mahmood can do a piece of work in 40 hours. If he is joined by Janaki who is 50% more efficient, in what time will they together finish the work?

A) 2 hours B) 6 hours
C) 16 hours D) 3 hours
 
Answer & Explanation Answer: C) 16 hours

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Q:

Surya works 3 times as fast as Ramya and is able to complete a work in 40 days less than the number of days taken by Ramya. Find the time in which they can complete the work together.

A) 20 days B) 15 days
C) 25 days D) 30 days
 
Answer & Explanation Answer: B) 15 days

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