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:

M can complete 3/4 part of a work in 12 days and N can complete 2/7 part of the same work in 8 days. In how many days will both complete 11/14 part of the total work?

A) 8 B) 9
C) 7 D) 6
 
Answer & Explanation Answer: A) 8

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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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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:

Robin can do a work in 10 hours. Pradeep and Robin together can do the same work in 4 hours. Pradeep and Nitin together can do the samework in 5 hours. In how many hours Nitin alone can complete the same work?

A) 12 B) 15
C) 18 D) 20
 
Answer & Explanation Answer: D) 20

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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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Q:

Raja and Kundan together can build a wall in 20 days, Kundan and Mahesh build the same wall in 30 days and Mahesh and Raja can build the same wall in 24 days. In how many days can all the three complete the same wall while working together?

A) 18 B) 16
C) 20 D) 14
 
Answer & Explanation Answer: B) 16

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Q:

12 men complete a work in 9 days. After they have worked for 6 days, 6 more men join them. How many days will they take to complete the remaining work?

A) 2 B) 3
C) 4 D) 5
 
Answer & Explanation Answer: A) 2

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Q:

Akka can bake 100 cakes in 20 hours, Akka and Tai together can bake 75 cakes in 10 hours. How many cakes Tai can bake in 20 hours?

A) 25 B) 50
C) 30 D) 75
 
Answer & Explanation Answer: B) 50

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