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:

Akash is 3 times as good a workman as Baldev and therefore is able to finish a job in 40 days less than Baldev. Working together, they can finish it in _____.

A) 15 days B) 60 days
C) 20 days D) 10 days
 
Answer & Explanation Answer: A) 15 days

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Q:

A does 50% of a work in 12 days. He then calls in B and they together finish the remaining work in 8 days. How long B alone would take to complete the whole work?

A) 12 days B) 24 days
C) 36 days D) 48 days
 
Answer & Explanation Answer: D) 48 days

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Q:

A and B together do a job in 6.75 days and A could do the job in 9 days if he worked alone. How many days would B take to do the job if he worked alone?

A) 27 B) 18
C) 24 D) 21
 
Answer & Explanation Answer: A) 27

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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

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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

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Q:

P can make a table in 16 days while Q can make it in 20 days. Q started the work and did that work for 5 days. In how many days P can complete the remaining work?

 

A)  10 B)  12
C)  15 D) 18
 
Answer & Explanation Answer: B)  12

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Q:

Sumit is 28% less efficient than Amit. If Amit can make a wall in 54 days, then Sumit can complete the same work in how many days?

 

A) 75 B) 70
C) 72 D) 76
 
Answer & Explanation Answer: A) 75

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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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