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 can complete a task in 50 and 20 days respectively. In how many days can they complete 70% of the task if they work together?

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

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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:

A and B can together do a piece of work in 6 days and A alone can do it in 9 days. The number of days B will take to do it alone is

A) 18 days B) 24 days
C) 9 days D) 12 days
 
Answer & Explanation Answer: A) 18 days

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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:

Meghnad can do a piece of work in 45 hours. If he is joined by Jayshri, who is 50% more efficient, in what time will they together finish the work?

A) 9 hours B) 6 hours
C) 12 hours D) 18 hours
 
Answer & Explanation Answer: D) 18 hours

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Q:

Abhinav is 2 times as good a workman as Balwant and therefore is able to finish a job in 36 days less than Balwant. Working together, they can do it in

A) 12 days B) 6 days
C) 18 days D) 24 days
 
Answer & Explanation Answer: D) 24 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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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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