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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:

X can do a piece of work in 'p' days and Y can do the same work in 'q' days . Then the number of days in which X and Y can together do that work is

A) p+q2 B) 1p+1q
C) pqp+q D) Pq
 
Answer & Explanation Answer: C) pqp+q

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Q:

A can do a piece of work in 8 days and B can do it in 10 days seperately. How many days would it take for both A and B to finish the same work together?

A) 33/8 B) 40/9
C) 41/10 D) 42/11
 
Answer & Explanation Answer: B) 40/9

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Q:

A mason can build a wall in 18 hours. After 9 hours he takes a break. What fraction of the wall is yet to be built?

A) 0.9 B) 0.25
C) 0.5 D) 0.2
 
Answer & Explanation Answer: C) 0.5

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Q:

In a camp 180 students had ration for 20 days. How many students should leave the camp if the ration should last for 25 days?

 

A) 36 B) 24
C) 28 D) 40
 
Answer & Explanation Answer: A) 36

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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:

A and B can complete a task in 20 days, B and C can complete it in 30 days while C and A can do the same task together in 24 days. How many days will each of and C take to complete the task individually? 

 

A) 50 and 54  B) 54 and 72 
C) 48 and 80  D) 56 and 64
 
Answer & Explanation Answer: C) 48 and 80 

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Q:

Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. The ratio between the capacity of a man and a woman is

A) 3:4 B) 4:3
C) 5:3 D) 5:7
 
Answer & Explanation Answer: B) 4:3

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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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