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 can complete a task alone in 8 days, while B takes 12 days to do it by herself. Together with C it takes them 4 days to complete the work. If C and D together can complete the task in 15 days, then how many days will D need to complete the task by herself?

A) 36 B) 32
C) 40 D) 30
 
Answer & Explanation Answer: C) 40

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Q:

X can do a piece of work in 'p' days and Y can do the same work in 'q' days . Then the number of days in which X and Y can together do that work is

A) p+q2 B) 1p+1q
C) pqp+q D) Pq
 
Answer & Explanation Answer: C) pqp+q

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Q:

A carpenter can build a cupboard in 48 hours. After 12 hours he takes a break. What fraction of the cupboard is yet to be built?

A) 0.4 B) 0.5
C) 0.75 D) 0.25
 
Answer & Explanation Answer: C) 0.75

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Q:

Surya works 3 times as fast as Ramya and is able to complete a work in 40 days less than the number of days taken by Ramya. Find the time in which they can complete the work together.

A) 20 days B) 15 days
C) 25 days D) 30 days
 
Answer & Explanation Answer: B) 15 days

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Q:

Ajay can do a painting in 12 days. Amit is 70% more efficient than Ajay. What is the number of days Amit would need to finish the same painting?

 

A) 6415 B) 5113
C) 335 D) 7117
 
Answer & Explanation Answer: D) 7117

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Q:

Working 7 hours in a day, 4 men can do a piece of work in 8 days. Working 8 hours in a day, the required number of men to perform the same work in 4 days will be

A) 8 B) 4
C) 7 D) 9
 
Answer & Explanation Answer: C) 7

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Q:

Smita can finish a work in 12 days and Sam can finish the same work in 9 days. After working together for 4 days they both leave the job. What is the fraction of unfinished work?

A) 2/9 B) 1/4
C) 1/2 D) 7/9
 
Answer & Explanation Answer: A) 2/9

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Q:

Asif is twice as good as workman as Bashir and together they finish a piece of work in 30 days. In how many days will Asif alone finish the work?

A) 90 B) 45
C) 60 D) 75
 
Answer & Explanation Answer: B) 45

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