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 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:

P does half as much work as Q in 1/3 of the time. If together they take 15 days to complete a work, how many days will P take to do it alone?

 

A) 18   B) 25  
C) 24   D) 21
 
Answer & Explanation Answer: B) 25  

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Q:

10 persons can do a job in X days. If 20 persons with twice the efficiency can do the same job in 5 days, then find the value of X?

A) 40 B) 15
C) 20 D) 30
 
Answer & Explanation Answer: C) 20

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Q:

4 men can build a small house in 12 days. How long would it take for 6 men to build the same house?

A) 9 days B) 8 days
C) 8.1 days D) 8.2 days
 
Answer & Explanation Answer: B) 8 days

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Q:

Some masons promised to do a work in 10 days but 8 of them were absent and remaining did the work in 18 days. What was the original number of masons?

 

A) 10 B) 21
C) 15 D) 18
 
Answer & Explanation Answer: D) 18

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Q:

Karteek is twice as good a foreman as Raju and together they finish a piece of work in 20 days. In how many days will Raju alone finish the work?

A) 40 B) 60
C) 80 D) 50
 
Answer & Explanation Answer: B) 60

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Q:

Ram is thrice as fast as Mohan and Nohan is twice as fast as Sohan. The distance covered by Sohan in 42 minutes will be covered by Mohan in

 

A) 18 min B) 21 min
C) 20 min D) 22 min
 
Answer & Explanation Answer: B) 21 min

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Q:

Some girls can do a piece of work in 18 days. In how much time (in days) two times the number of such girls will complete thrice of the work?

 

A) 12 B) 27
C) 21 D) 24
 
Answer & Explanation Answer: B) 27

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