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, B and C can together do a job in 9 days. C alone can do the job in 36 days. In how many days can A and B do 50% of the job working together?

A) 6 B) 12
C) 9 D) 15
 
Answer & Explanation Answer: A) 6

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Q:

Prabodh has done 1/2 of a job in 30 days, Sapan completes the rest of the job in 45 days. In how many days can they together do the job?

A) 18 days B) 48 days
C) 27 days D) 36 days
 
Answer & Explanation Answer: D) 36 days

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Q:

A and B have to type a book together containing 120 pages. A takes 9 hrs to type 36 pages and B takes 5 hrs to type 40 pages. A typed first 60 pages alone and the last 60 pages were typed by A and B together. How much time (in hours) will be taken to type the complete book?

A) 24 B) 20
C) 12 D) 15
 
Answer & Explanation Answer: B) 20

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Q:

Sister can bake 50 cakes in 25 hours, Sister and Mummy together can bake 75 cakes in 15 hours. How many cakes Mummy can bake in 15 hours?

A) 25 B) 45
C) 20 D) 10
 
Answer & Explanation Answer: B) 45

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Q:

M is thrice as good as workman as N and together they finish a piece of work in 30 days. In how many days will M alone finish the work?

A) 50 B) 40
C) 60 D) 45
 
Answer & Explanation Answer: B) 40

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Q:

Amar can complete a work in 30 days and Raman can complete the same work in 15 days. If both of them work together, then in 4 days what percent of the total work will be completed?

A) 15 B) 37
C) 40 D) 45
 
Answer & Explanation Answer: C) 40

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Q:

A, B and C together can complete a work in 25 days. If the ratio of efficiency of A, B and C is 15 : 10 : 6 respectively, then in how many days C alone can complete the same work?

A) 727/6 B) 725/6
C) 775/6 D) 745/6
 
Answer & Explanation Answer: C) 775/6

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Q:

Rohan and Mohit together can build a wall in 8 days. Mohit and Vikas build the same wall in 10 days and Vikas and Rohan can build the same wall in 12days. In how many days can all the three complete the same wall while working together?

A) 240/37 B) 120/37
C) 150/37 D) 180/37
 
Answer & Explanation Answer: A) 240/37

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