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 can do a work in 16 days and B in 20 days. If they work on it together for 8 days, then what fraction of work is left?

A) 1/3 B) 1/6
C) 2/9 D) 1/10
 
Answer & Explanation Answer: D) 1/10

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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:

A can do a work in 24 days and B in 40 days. If they work on it together for 10 days, then what fraction of work is left?

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

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Q:

Both A and B together can complete a work in 20 days and B alone can complete the same work in 36 days. In how many days will A alone complete the work?

A) 30 B) 50
C) 45 D) 42
 
Answer & Explanation Answer: C) 45

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Q:

A can make a cupboard in 10 days and B can do it in 50 days. Along with C, they did the job in 6.25 days only. Then in how many days C alone can do the job?

A) 20 B) 25
C) 16 D) 15
 
Answer & Explanation Answer: B) 25

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Q:

A new topic named Problem Solving was also introduced and it was decided that 10% time of all topics except Arithmetic will be devoted to it. What will be the central angle (in degrees) made by Problem Solving in the new pie chart?

A) 17.28 B) 18
C) 19.44 D) 36
 
Answer & Explanation Answer: C) 19.44

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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:

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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