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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 finish 25% of a work in a day. Y can do 12.5% of the same work in a day. In how many days, will both of them finish the work together?

A) 2.67 days B) 2.33 days
C) 3.33 days D) 3.67 days
 
Answer & Explanation Answer: A) 2.67 days

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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:

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:

Working 5 hours a day, Shivam can read a book in 24 days. How many hours a day should he work so as to finish the same work in 8 days?

A) 12 B) 18
C) 15 D) 21
 
Answer & Explanation Answer: C) 15

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Q:

Anil can do a piece of work in 14 days which Rohit can do in 21 days. They worked together for few days after which Anil left. If Rohit worked alone for 3 days, find the total number of days it took to complete the whole work.

A) 31/5 B) 51/5
C) 21/5 D) 13/5
 
Answer & Explanation Answer: B) 51/5

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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:

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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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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