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:

A, B and C together can finish a task in 12 days. A is twice as productive as B and C alone can do the task in 36 days. In how many days can A and B do the task if C goes on leave?

A) 10 B) 20
C) 15 D) 18
 
Answer & Explanation Answer: D) 18

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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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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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Q:

A and B together can complete a piece of work in 12 days. They worked together for 5 days and then A alone finished the rest work in 14 days. A alone can complete the work in _____.

A) 24 days B) 22 days
C) 20 days D) 18 days
 
Answer & Explanation Answer: A) 24 days

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Q:

The labourers A, B, C were given a contract of Rs. 750 for doing a certain piece of work. All the three together can finish the work in 8 days. A and C together can do it in 12 day, while A and B together can do it in 13 1/3 days. The money will be divided in the ratio

A) 4:5:6 B) 4:7:5
C) 5:7:4 D) 5:6:8
 
Answer & Explanation Answer: A) 4:5:6

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Q:

The time taken by 4 men to complete a job is double the time taken by 5 children to complete the same job. Each man is twice as fast as a woman. How long will 12 men, 10 children and 8 women take to complete a job, given that a child would finish the job in 20 days.

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

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Q:

35 persons are engaged to complete a work in 60 days. After 32 days it is observed that only (2/5)th part of the work has been done. The number of persons to be engaged to complete the remaining work in the said period is

A) 20 B) 35
C) 30 D) 25
 
Answer & Explanation Answer: D) 25

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