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 work in 12 days while B can do it in 15 days. They undertake to complete it together for Rs. 450. what will be the share of A in this amount of money ?

A) Rs.200 B) Rs.240
C) Rs.250 D) Rs.300
 
Answer & Explanation Answer: C) Rs.250

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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:

If 15 persons can do a job in 30 days, then 30 persons with twice the efficiency can do the same job in how many days?

A) 7 B) 3.5
C) 5 D) 7.5
 
Answer & Explanation Answer: D) 7.5

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Q:

10 persons can do a job in X days. If 20 persons with twice the efficiency can do the same job in 5 days, then find the value of X?

A) 40 B) 15
C) 20 D) 30
 
Answer & Explanation Answer: C) 20

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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:

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:

A and B can together do a piece of work in 6 days and A alone can do it in 9 days. The number of days B will take to do it alone is

A) 18 days B) 24 days
C) 9 days D) 12 days
 
Answer & Explanation Answer: A) 18 days

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