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:

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:

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:

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:

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:

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:

In a factory, 60 workers can stitch 120 m of clothes in 7 days, what length of clothes can be stitched by 70 workers in 5 days?

 

A) 100 m B) 90 m
C) 85 m D) 110 m
 
Answer & Explanation Answer: A) 100 m

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