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 can do 75% of a job in 9 days and B can do half of the job in 8 days. If they work on it together, then in how many days can they do half of the job?

A) 40/7 B) 24/7
C) 7/2 D) 9/2
 
Answer & Explanation Answer: B) 24/7

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3 1710
Q:

Anil is twice as good as workman as Bimal and together they finish a piece of work in 9 days. In how many days will Anil alone finish the work?

A) 12.5 B) 11.5
C) 10.5 D) 13.5
 
Answer & Explanation Answer: D) 13.5

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2 1709
Q:

S and T can finish a work in 50 days. They worked together for 20 days and then left. How much of the work is left?

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

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3 1708
Q:

A can do a work in 20 days and B in 50 days. If they work on it together for 5 days, then what fraction of work is left?

A) 13/20 B) 1/3
C) 1/6 D) 2/9
 
Answer & Explanation Answer: A) 13/20

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4 1706
Q:

9 women can complete a work in 50 days. If more 6 women were added to them, how many days before the work can be completed?

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

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10 1701
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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10 1696
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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1 1695
Q:

If 10 people can do a job in 20 days,then 20 people with twice the efficiency can do the same job in

A) 5 days B) 10 days
C) 20 days D) 40 days
 
Answer & Explanation Answer: A) 5 days

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4 1694