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:

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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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:

24 men can repair a road in 50 days. If they are joined by 16 more men, then in how much time (in days) the road can be repaired?

A) 28 B)  25
C) 32 D) 30
 
Answer & Explanation Answer: D) 30

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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:

P and Q can do a project in 12 and 12 days respectively. In how many days can they complete 50% of the project if they work together?

A) 6 days B) 3 days
C) 18 days D) 1.5 days
 
Answer & Explanation Answer: B) 3 days

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Q:

A, B and C can finish a job working alone in 12, 8 and 24 days respectively. In how many days they can finish the job if they worked together?

A) 5 B) 6
C) 4 D) 3
 
Answer & Explanation Answer: C) 4

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Q:

Pramod can paint a wall red in 12 hours while Brajen can whitewash the wall completely in 16 hrs. If Pramod and Brajen work alternately for an hour each starting when the wall has just cement on it till when it is completely painted red, how many hours will it take to paint the entire wall red?

 

A) 89 B) 96
C) 48 D) 95
 
Answer & Explanation Answer: A) 89

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