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 does 60% of a work in 15 days. He then calls B, and they together finish the remaining work in 5 days. How long B alone would take to do the whole work?

A) 25 days B) 20 days
C) 80 days D) 24 days
 
Answer & Explanation Answer: A) 25 days

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0 1985
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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2 1984
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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7 1983
Q:

8 men can complete a work in 16 days. 16 women can complete the same work in 24 days. In how many days can 4 men and 8 women complete the same work?

A) B)
C) D)
 
Answer & Explanation Answer:

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10 1982
Q:

30 women do half of the total work in 30 days. How many more women will be required to complete the remaining work in 10 days?

A) 45 B) 30
C) 60 D) 80
 
Answer & Explanation Answer: C) 60

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0 1969
Q:

A can do a work in 36 days and B in 12 days. If they work on it together, then in how many days will they be able to do the work?

A) 8 B) 6
C) 10 D) 9
 
Answer & Explanation Answer: D) 9

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0 1959
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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0 1950
Q:

A can do 75% of a job in 18 days and B can do 25% of the job in 12 days. If they work on it together, in how many days can they do 75% of the job?

A) 16 B) 8
C) 20 D) 12
 
Answer & Explanation Answer: D) 12

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1 1940