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 30% of a work in 30 days. He then calls in B and they together finish the remaining work in 20 days. How long B alone would take to do the whole work?

A) 40 days B) 80 days
C) 120 days D) 20 days
 
Answer & Explanation Answer: A) 40 days

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Q:

A can do a work in 20 days and B in 50 days. If they work on it together for 5 days, then what fraction of work is left?

A) 13/20 B) 1/3
C) 1/6 D) 2/9
 
Answer & Explanation Answer: A) 13/20

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Q:

Makarand works 2 times as fast as Samarjit. If Samarjit can complete a job alone in 27 days, then in how many days can they together finish the job?

A) 6 days B) 7 days
C) 5 days D) 9 days
 
Answer & Explanation Answer: D) 9 days

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Q:

Mandeep works 3 times as fast as Sampat. If Sampat can complete a job alone in 60 days, then in how many days can they together finish the job?

A) 7 days B) 4 days
C) 5 days D) 15 days
 
Answer & Explanation Answer: D) 15 days

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Q:

Five women can do a work in 36 days. If the ratio between the capacity of a man and a woman is 3:1, then find how many days it will take 5 men to complete the same woek?

A) 12 days B) 15 days
C) 18 days D) 108 days
 
Answer & Explanation Answer: A) 12 days

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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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Q:

Manoj can do a piece of work in 42 hours. If he is joined by Jayashree who is 100% more efficient, in what time they will finish the work together?

A) 7 hours B) 3.5 hours
C) 14 hours D) 2.5 hours
 
Answer & Explanation Answer: C) 14 hours

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Q:

Raman can do a work in 5 days, Jatin can do the same work in 7 days and Sachin can do the same work in 9 days. If they do the same work together and they are paid Rs 2860, then what is the share (in Rs) of Raman?

A) 1260 B) 700
C) 900 D) 870
 
Answer & Explanation Answer: A) 1260

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