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 Time and Work Questions

Popular Latest Rated Important Formulae

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 : 

Efficiency∝1No 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 work can be completed by 18 boys in 24 days. If 6 boys leave after working for 12 days, then how many days will be needed to complete the remaining work?

 

A) 12 B) 15
C) 18 D) 24
 
Answer & Explanation Answer: C) 18

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Q:

If 15 persons can do a job in 30 days, then 30 persons with twice the efficiency can do the same job in how many days?

A) 7 B) 3.5
C) 5 D) 7.5
 
Answer & Explanation Answer: D) 7.5

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Q:

Mayank, Deepak and Pawan, each of them working alone can complete a work in 5, 10 and 15 days respectively. If all three of them work together to complete a work and earn Rs. 12000 what will be Deepak's share of the earnings?

A) Rs. 2000 B) Rs. 6000
C) Rs. 4000 D) Rs. 3000
 
Answer & Explanation Answer: C) Rs. 4000

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Q:

A, B and C can finish a job working alone in 20, 30 and 60 days respectively. They all work together for 1 day, then A and B quit. How many days C working alone will take to finish the remaining part of the job?

A) 60 B) 54
C) 6 D) 27
 
Answer & Explanation Answer: B) 54

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Q:

A and B together can do a piece of work in 36 days, B and C together can do it in 24 days. A and C together can do it in 18 days. The three working together can finish the work in

A) 8 days B) 16 days
C) 30 days D) 32 days
 
Answer & Explanation Answer: B) 16 days

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Q:

Arjun and Anurag complete a job in 6 days and 7 days respectively. They worked together and earned a total of Rs. 780. Find Arjun's share in this amount in Rs. ?

A) 490 B) 560
C) 350 D) 420
 
Answer & Explanation Answer: D) 420

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Q:

A and B can complete a task in 20 days, B and C can complete it in 30 days while C and A can do the same task together in 24 days. How many days will each of and C take to complete the task individually? 

 

A) 50 and 54  B) 54 and 72 
C) 48 and 80  D) 56 and 64
 
Answer & Explanation Answer: C) 48 and 80 

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Q:

Working 10 hours a day, Aman can complete a piece of work in 18 days. How many hours a day should he work so as to finish the work in 15 days?

A) 10 B) 12
C) 16 D) 18
 
Answer & Explanation Answer: B) 12

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