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:

Both X and Y together can complete a work in 12 days and Y alone can complete the same work in 30 days. In how many days will X alone complete the work?

 

A) 15 B) 20
C) 18 D) 16
 
Answer & Explanation Answer: B) 20

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Q:

Munni can bake 70 cakes in 7 hours, Munni and Guddi together can bake 90 cakes in 6 hours. How many cakes Guddi can bake in 10 hours?

A) 100 B) 50
C) 125 D) 25
 
Answer & Explanation Answer: B) 50

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Q:

In a camp 180 students had ration for 20 days. How many students should leave the camp if the ration should last for 25 days?

 

A) 36 B) 24
C) 28 D) 40
 
Answer & Explanation Answer: A) 36

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Q:

A can do a work in 24 days and B in 40 days. If they work on it together for 10 days, then what fraction of work is left?

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

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Q:

P does half as much work as Q in 1/3 of the time. If together they take 15 days to complete a work, how many days will P take to do it alone?

 

A) 18   B) 25  
C) 24   D) 21
 
Answer & Explanation Answer: B) 25  

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Q:

A can complete a work in 20 days and B can complete the same work in 25 days. If both of them work together, then in 3 days what percent of the total work will be completed?

A) 9 B) 12
C) 25 D) 27
 
Answer & Explanation Answer: D) 27

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Q:

Arun and Amit can do a piece of work in 9 days and 12 days respectively. If they work for alternate days and Amit starts the work first, then in how many days 35/36 parts of whole work will be completed?

A) 10 days B) 12 days
C) 5 days D) 8 days
 
Answer & Explanation Answer: A) 10 days

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Q:

X can finish 25% of a work in a day. Y can do 12.5% of the same work in a day. In how many days, will both of them finish the work together?

A) 2.67 days B) 2.33 days
C) 3.33 days D) 3.67 days
 
Answer & Explanation Answer: A) 2.67 days

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