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:

Ram and Shyam undertook a work for Rs 5600. Ram alone can do the work in 5 days and Shyam alone can do the work in 9 days. If they worktogether, then what will be the difference (in Rs.) in the amount they receive?

A) 1800 B) 2400
C) 1600 D) 2200
 
Answer & Explanation Answer: C) 1600

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6 1708
Q:

P alone can do a piece of work in 8 days and Q alone can do the same work in 10 days. In how many days will both together complete the same work?

A) 40/9 B) 20/9
C) 60/7 D) 40/7
 
Answer & Explanation Answer: A) 40/9

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4 1706
Q:

A mason can build a wall in 70 hours. After 7 hours he takes a break. What fraction of the wall is yet to be built?

A) 0.9 B) 0.8
C) 0.5 D) 0.75
 
Answer & Explanation Answer: A) 0.9

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1 1704
Q:

Manish is four times as efficient as Puneet. Manish takes 90 days less than Puneet to complete a book. If both of them work together, then in how many days the book will be completed?

A) 28 B) 25
C) 24 D) 30
 
Answer & Explanation Answer: C) 24

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3 1698
Q:

X and Y undertook to do a piece of work for Rs 5400. X alone could do this work in 18 days and Y alone could do this work in 24 days. With the assistance of Z they finished the work in 8 days. What is the share (in Rs) of Z?

 

A) 1200 B) 1500
C) 1600 D) 1800
 
Answer & Explanation Answer: A) 1200

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1 1686
Q:

A school has 8 periods of 45 minutes each, every day. How long will each period be if the school has to have 9 periods everyday, assuming the working hours to be the same?

A) 40 min B) 35 min
C) 30 min D) 45 min
 
Answer & Explanation Answer: A) 40 min

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1 1677
Q:

A can do a work in 15 days and B in 20 days. If they work on it together for 5 days, then what fraction of work is left?

A) 2/9 B) 3/10
C) 5/12 D) 1/4
 
Answer & Explanation Answer: C) 5/12

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Q:

Surya works 3 times as fast as Ramya and is able to complete a work in 40 days less than the number of days taken by Ramya. Find the time in which they can complete the work together.

A) 20 days B) 15 days
C) 25 days D) 30 days
 
Answer & Explanation Answer: B) 15 days

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0 1671