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:

S, T and U can complete a work in 40, 48 and 60 days respectively. They received Rs 10800 to complete the work. They begin the work together but Tleft 2 days before the completion of the work and U left 5 days before the completion of the work. S has completed the remaining work alone. What is the share of S(in Rs) from total money?

A) 4320 B) 4500
C) 4860 D) 4960
 
Answer & Explanation Answer: C) 4860

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Q:

A can do a certain job in 12 days. B is 60% more efficient than A. Then B can do the same piece of work in

A) 8 days B) 7.5 days
C) 6.4 days D) 5.5 days
 
Answer & Explanation Answer: B) 7.5 days

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Q:

A can do a piece of work in 6 days working 8 hours a day while B can do the same work in 4 days working 10 hours a day. If the work has to be completed in 5 days, so how many hours do they need to work together in a day?

A) 59/11 B) 48/11
C) 70/11 D) 65/11
 
Answer & Explanation Answer: B) 48/11

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Q:

A, B and C can do a job working alone in 50, 75 and 20 days respectively. They all work together for 4 days, then C quits. How many days will A and B take to finish the rest of the job?

A) 20 B) 30
C) 18 D) 24
 
Answer & Explanation Answer: A) 20

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Q:

S does half as much work as T in 1/7 of the time taken by T. If together they take 21 days to complete a work, then how may days shall S take to complete that work alone?

 

 

A) 26   B)  27  
C) 28   D) 32
 
Answer & Explanation Answer: B)  27  

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Q:

A can do a work in 21 days and B in 42 days. If they work on it together for 7 days, then what fraction of work is left?

A) 1/3 B) 1/4
C) 2/3 D) 1/2
 
Answer & Explanation Answer: D) 1/2

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Q:

30 women do half of the total work in 30 days. How many more women will be required to complete the remaining work in 10 days?

A) 45 B) 30
C) 60 D) 80
 
Answer & Explanation Answer: C) 60

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Q:

A and B can complete a task in 12 days. However, A had to leave a few days before the task was completed and hence it took 16 days in all to complete the task. If A alone could complete the work in 21 days, how many days before the work getting over did A leave?

A) 7 B) 5
C) 9 D) 3
 
Answer & Explanation Answer: A) 7

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