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:

Atul and Binay together complete a piece of work in 5 days. If Binay alone can complete the same work in 8 days, how many days Atul take to complete the same work alone?

A) 40/3 days B) 20/3 days
C) 9 days D) 10 days
 
Answer & Explanation Answer: A) 40/3 days

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Q:

Anil can do a piece of work in 14 days which Rohit can do in 21 days. They worked together for few days after which Anil left. If Rohit worked alone for 3 days, find the total number of days it took to complete the whole work.

A) 31/5 B) 51/5
C) 21/5 D) 13/5
 
Answer & Explanation Answer: B) 51/5

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Q:

12 men or 30 boys can complete a work in 72 days. How many days will 48 men and 24 boys will take to complete the same work?

A) 20 B) 18
C) 15 D) 25
 
Answer & Explanation Answer: C) 15

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Q:

A piece of work can be done by 16 men in 8 days working 12 hours a day. How many men are needed to complete another work, which is three times the first one, in 24 days working 8 hours a day?

A) 24 men B) 22 men
C) 23 men D) 25 men
 
Answer & Explanation Answer: A) 24 men

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Q:

Working together P, Q and R reap a field in 6 days. If P can do it alone in 10 days and Q in 24 days, in how many days will R alone be able to reap the field?

A) 32 days B) 40 days
C) 45 days D) 60 days
 
Answer & Explanation Answer: B) 40 days

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Q:

30 men working 5 hours a day can do a task in 16 days. In how many days will 40 men working 6 hours a day do the same task?

A) 12 days B) 10 days
C) 15 days D) 18 days
 
Answer & Explanation Answer: B) 10 days

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Q:

If a young son works quickly for 2 hours and prepares 16 items in a day, and his old father works slowly for 8 hours and prepares 24 items in a day, which of the following is true?

A) The son has more energy B) Both have equal energy
C) The son has more power D) Both have equal power
 
Answer & Explanation Answer: C) The son has more power

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Q:

A, B and C can complete a task together in 10 days. A and B would need 12 days if only the two of them worked, while B and C would take 20 days if only the two of them worked. If B worked alone, how many days would she take to complete the task?

A) 30 B) 22
C) 45 D) 20
 
Answer & Explanation Answer: A) 30

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