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:

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:

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:

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 certain number of men agreed to do a work in 20 days. 5 men did not come for work. Others completed the work in 40 days. Find the number of men who had agreed to do the work originally.

A) 8 B) 10
C) 12 D) 15
 
Answer & Explanation Answer: B) 10

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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:

U, V and W together can make a chair in 20 minutes. U and V together can make it in 25 minutes. How much time will (in minutes) W alone take to make the chair?

 

A) 100   B) 90
C) 60 D) 120
 
Answer & Explanation Answer: A) 100  

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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:

X can complete 5/7 part of a work in 10 days and Y can complete 3/4 part of the same work in 9 days. In how many days will both complete 13/21 part  of the total work?

 

A)  6 B) 4
C) 3 D) 12
 
Answer & Explanation Answer: B) 4

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