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:

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 1522
Q:

A does 1/2 as much work as B and C does1/2as much work as A and B together. If C alone can finish the work in 40 days, then together all will finish the work in

A) 30 days B) 40/3 days
C) 15 days D) 16 days
 
Answer & Explanation Answer: B) 40/3 days

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2 1518
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 1513
Q:

A can do a piece of work in 18 days. He worked at it for 12 days and B finished the remaining work in 8 days. B alone can do the whole work in

A) 16 days B) 24 days
C) 28 days D) 29 days
 
Answer & Explanation Answer: B) 24 days

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0 1512
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 1511
Q:

Akhilesh is two times as good a workman as Bansi and therefore is able to finish a job in 39 days less than Bansi. Working together, they can do it in

A) 13 days B) 24 days
C) 26 days D) 12 days
 
Answer & Explanation Answer: C) 26 days

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1 1506
Q:

Ajit is two times as good a workman as Badrinath and therefore is able to finish a job in 30 days less than Badrinath. Working together, they can do it in

A) 10 days B) 30 days
C) 15 days D) 20 days
 
Answer & Explanation Answer: D) 20 days

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2 1505
Q:

Type 1 workers can do three times the work of Type 2 workers. Twelve Type 1 workers can complete a task in 10 days. How many days would it have taken 4 Type 1 and 8 Type 2 workers to complete the same task?

A) 16 B) 17
C) 20 D) 18
 
Answer & Explanation Answer: D) 18

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