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 can do a piece of work in 9 days while B can do it in 12 days. A and B together can do the work in

A) 5 1/7 days B) 5 2/7 days
C) 6 1/7 days D) 6 2/7 days
 
Answer & Explanation Answer: A) 5 1/7 days

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Q:

Mayank, Deepak and Pawan, each of them working alone can complete a work in 5, 10 and 15 days respectively. If all three of them work together to complete a work and earn Rs. 12000 what will be Deepak's share of the earnings?

A) Rs. 2000 B) Rs. 6000
C) Rs. 4000 D) Rs. 3000
 
Answer & Explanation Answer: C) Rs. 4000

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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:

X does 25% of a work in 20 days. Y joins X and they together finish the remaining work in 15 days. Y alone can do the whole work in ___ days.

 

A) 30 days B) 25 1/2 days
C) 26 2/3 days D) 26 1/5 days
 
Answer & Explanation Answer: C) 26 2/3 days

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Q:

P and Q can do a project in 20 and 12 days respectively. In how many days can they complete 40% of the project if they work together?

A) 1.5 days B) 3 days
C) 6 days D) 9 days
 
Answer & Explanation Answer: C) 6 days

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Q:

P and Q can complete a task in 50 and 20 days respectively. In how many days can they complete 70% of the task if they work together?

A) 20 days B) 20 days
C) 40 days D) 10 days
 
Answer & Explanation Answer: D) 10 days

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Q:

24 men can do a piece of work in 17 days.How many men will be able to do it in 51 days ?

A) 8 B) 10
C) 12 D) 6
 
Answer & Explanation Answer: A) 8

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