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:

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:

If two flood gates A and B function simultaneously, the reservoir will be filled iu 6 hours. Gate A fills the reservoir 5 hours faster than gate B. How many hours does the faster flood gate take to fill the reservoir?

A) 7 hrs B) 13 hrs
C) 5 hrs D) 10 hrs
 
Answer & Explanation Answer: D) 10 hrs

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Q:

A and B together can complete a task in 12 days. However, if A works alone, completes half the job and leaves and then B works alone and competes the rest of the work, it takes 25 days in all to complete the work. If B is more efficient than A, how many days would it have taken B to do the work by herself?

A) 18 B) 22
C) 20 D) 15
 
Answer & Explanation Answer: C) 20

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Q:

X can complete a task in 8 days, whereas Y can complete the same task in 10 days. If they work together, in how many days will the task be completed?

A) 40/9 B) 9/40
C) 44/9 D) 9/44
 
Answer & Explanation Answer: A) 40/9

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Q:

A does 1/2 as much work as B and C does1/2as much work as A and B together. If C alone can finish the work in 40 days, then together all will finish the work in

A) 30 days B) 40/3 days
C) 15 days D) 16 days
 
Answer & Explanation Answer: B) 40/3 days

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Q:

A and B together do a job in 12 days and A could do the job in 20 days if he worked alone. How many days would B take to do the job if he worked alone?

A) 30 B) 25
C) 24 D) 15
 
Answer & Explanation Answer: A) 30

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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:

A, B and C can do job in 9, 12 and 36 days respectively if they worked alone. A leaves after they have worked together for 3 days. In how many days can B and C do the rest of the job?

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

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