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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:

20 boys do one fourth of work in 25 days. How many more boys will be required to complete the remaining work in 50 days?

 

A) 8 B) 10
C) 15 D) 20
 
Answer & Explanation Answer: B) 10

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Q:

Mehdi can complete a work in 25 hours. If he is joined by Jahnavi who is 50% more efficient, in what time will they together finish the work?

A) 12 hours B) 10 hours
C) 3 hours D) 9 hours
 
Answer & Explanation Answer: B) 10 hours

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Q:

Prahlad has done 1/3rd of a job in 30 days, Sarfaraz completes the rest of the job in 90 days. In how many days can they together do the job?

A) 27 days B) 18 days
C) 54 days D) 36 days
 
Answer & Explanation Answer: C) 54 days

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Q:

A, B and C can complete the work in 4, 5 and 6 hours respectively. If they all work together and receive Rs. 777 as wages then find the share of A.

A) Rs. 300 B) Rs. 315
C) Rs. 326 D) Rs. 175
 
Answer & Explanation Answer: B) Rs. 315

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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 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:

If 5 person together can make 5 mats in 5 hrs, then 10 person in 10 hours will make

A) 20 mats B) 10 mats
C) 15 mats D) 5 mats
 
Answer & Explanation Answer: A) 20 mats

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Q:

Makarand works 2 times as fast as Samarjit. If Samarjit can complete a job alone in 27 days, then in how many days can they together finish the job?

A) 6 days B) 7 days
C) 5 days D) 9 days
 
Answer & Explanation Answer: D) 9 days

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