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:

Manish can complete a work in 21 days and Karan can complete the same work in 28 days. If both together work for 7 days, then what fraction of total work is left?

 

A) 3/5 B) 2/3
C) 7/12 D) 5/12
 
Answer & Explanation Answer: D) 5/12

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3 2029
Q:

A can paint a house in 45 days and B can do it in 15 days. Along with C, they did the job in 5 days only. Then, C alone can do the job in how many days?

A) 12 B) 9
C) 15 D) 8
 
Answer & Explanation Answer: B) 9

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0 2026
Q:

S and T can finish a work in 50 days. They worked together for 20 days and then left. How much of the work is left?

A) 3/5 B) 1/3
C) 1/2 D) 2/5
 
Answer & Explanation Answer: A) 3/5

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3 2026
Q:

Azhar is 4 times as good a workman as Balaraj and therefore is able to finish a job in 45 days less than Balaraj. Working together, they can do it in:

A) 6 days B) 18 days
C) 24 days D) 12 days
 
Answer & Explanation Answer: D) 12 days

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0 2010
Q:

A can do a work in 21 days and B in 42 days. If they work on it together for 7 days, then what fraction of work is left?

A) 1/3 B) 1/4
C) 2/3 D) 1/2
 
Answer & Explanation Answer: D) 1/2

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0 2005
Q:

Working together A and B can do a job in 40 days, B and C in 36 days and all three together in 24 days. In how many days can B alone do the job?

A) 60 B) 90
C) 72 D) 120
 
Answer & Explanation Answer: B) 90

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2 2004
Q:

A can paint a house in 55 days and B can do it in 66 days. Along with C, they did the job in 12 days only. Then, C alone can do the job in how many days?

A) 24 B) 44
C) 33 D) 20
 
Answer & Explanation Answer: D) 20

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0 2002
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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4 1995