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 Time and Work Questions

Popular Latest Rated Important Formulae

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 : 

Efficiency∝1No 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  field  can  be  reaped  by  12  men  or  18  women  in  14  days.  In  how  many  days  can  8  men  and  16 women reap it?

A) 26 days B) 24 days
C) 9 days D) 8 days
 
Answer & Explanation Answer: C) 9 days

Explanation:
12 men or 18 women can complete in 14 days
8 men and 16 women can complete in how many days
12men = 18 women (Comparing efficiencies)
1men = 18/12 = 1.5 women
8 men and 16 women = 12women + 16 women = 28 women
18 women completes in 14 days
1 woman completes in 14*18 days
28 women completes in (14*18)/28 days = 9 days
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0 1995
Q:

Anil is twice as good as workman as Bimal and together they finish a piece of work in 9 days. In how many days will Anil alone finish the work?

A) 12.5 B) 11.5
C) 10.5 D) 13.5
 
Answer & Explanation Answer: D) 13.5

Explanation:
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2 1974
Q:

Parimal has done 1/4th of a job in 10 days, Salim completes the rest of the job in 20 days. In how many days can they together do the job?

A) 8 days B) 24 days
C) 12 days D) 16 days
 
Answer & Explanation Answer: D) 16 days

Explanation:
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5 1974
Q:

A and B can together complete a task in 18 hours. After 6 hours A leaves. B takes 36 hours to finish rest of the task. How many hours would A have taken to do the task if he worked alone?

A) 54 B) 45
C) 21 D) 27
 
Answer & Explanation Answer: D) 27

Explanation:
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7 1970
Q:

A mason can build a wall in 70 hours. After 7 hours he takes a break. What fraction of the wall is yet to be built?

A) 0.9 B) 0.8
C) 0.5 D) 0.75
 
Answer & Explanation Answer: A) 0.9

Explanation:
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1 1966
Q:

18 men or 36 boys working 6 hours a day can plough a field in 24 days. In how many days will 24 men and 24 boys working 9 hours a day plough the same field ?

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

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1 1962
Q:

P and Q can do a project in 60 and 30 days respectively. In how many days can they complete 90% of the project if they work together?

A) 9 days B) 27 days
C) 36 days D) 18 days
 
Answer & Explanation Answer: D) 18 days

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1 1951
Q:

Badki can bake 45 cakes in 9 hours, Badki and Chutki together can bake 80 cakes in 10 hours. How many cakes Chutki can bake in 40 hours?

A) 125 B) 10
C) 120 D) 20
 
Answer & Explanation Answer: C) 120

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Exam Prep: Bank Exams , CAT

0 1947