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 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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Q:

U, V and W together can make a chair in 20 minutes. U and V together can make it in 25 minutes. How much time will (in minutes) W alone take to make the chair?

 

A) 100   B) 90
C) 60 D) 120
 
Answer & Explanation Answer: A) 100  

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Q:

30 men working 5 hours a day can do a task in 16 days. In how many days will 40 men working 6 hours a day do the same task?

A) 12 days B) 10 days
C) 15 days D) 18 days
 
Answer & Explanation Answer: B) 10 days

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Q:

A can do a work in 15 days and B in 20 days. If they work on it together for 6 days, then what fraction of work is left?

A) 1/4 B) 2/9
C) 1/5 D) 3/10
 
Answer & Explanation Answer: D) 3/10

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Q:

P can do a piece of work in 60 days & Q can do the same work in 50 days. Find the ratio of working efficiencies of P to Q.

 

A) 1/3 B) 6/5
C) 5/6 D) 4/5
 
Answer & Explanation Answer: C) 5/6

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Q:

A, B and C can complete a task together in 10 days. A and B would need 12 days if only the two of them worked, while B and C would take 20 days if only the two of them worked. If B worked alone, how many days would she take to complete the task?

A) 30 B) 22
C) 45 D) 20
 
Answer & Explanation Answer: A) 30

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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:

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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