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 and B together do a job in 15 days and A alone could do the same job in 20 days. How many days would B take to do half the job if he worked alone?

A) 60 B) 30
C) 45 D) 40
 
Answer & Explanation Answer: B) 30

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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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Q:

A can do 1/3rd of a work in 5 days and B can do 2/5th of this work in 10 days. Both A and B, together can do the work in

A) 7 3/8 days B) 8 4/5 days
C) 9 3/8 days D) 10 days
 
Answer & Explanation Answer: C) 9 3/8 days

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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:

Working 10 hours a day, Aman can complete a piece of work in 18 days. How many hours a day should he work so as to finish the work in 15 days?

A) 10 B) 12
C) 16 D) 18
 
Answer & Explanation Answer: B) 12

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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:

Five men or ten women can complete a job in 20 days. In how many days can 3 men and 4 women complete it?

A) 10 B) 25
C) 15 D) 20
 
Answer & Explanation Answer: D) 20

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Q:

If Mr. Raghav taught a total of 500 hours, then what is the difference in number of hours of teaching algebra and modern Maths?

A) 15 B) 20
C) 25 D) 40
 
Answer & Explanation Answer: C) 25

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