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:

An hour-long test has 60 problems. If a student completes 30 problems in 25 minutes, then the required seconds he has taken on average for computing each of the remaining problems is

A) 70 seconds B) 50 seconds
C) 40 seconds D) 30 seconds
 
Answer & Explanation Answer: A) 70 seconds

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Q:

Ramesh and Rahman can do a work in 20 and 25 days respectively. After doing collectively 10 days of work, they leave the work due to illness and Suresh completes rest of the work in 3 days. How many days Suresh alone can take to complete the whole work ?

A) 32 days B) 28 days
C) 29 days D) 30 days
 
Answer & Explanation Answer: D) 30 days

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Q:

A can do a piece of work in 10 days, B can do it in 12 days and C can do it in 15 days. In how many days will A, B and C finish it, working all together?

A) 6 days B) 5 1/4 days
C) 4 4/11 days D) 4 days
 
Answer & Explanation Answer: D) 4 days

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Q:

P does half as much work as Q in 1/3 of the time. If together they take 15 days to complete a work, how many days will P take to do it alone?

 

A) 18   B) 25  
C) 24   D) 21
 
Answer & Explanation Answer: B) 25  

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Q:

Atul can do a piece of work in 18 days, Aaravya is 50% more efficient than Atul. How much more time does Atul take than Aaravya to do the same piece of work?

A) 12 B) 6
C) 18 D) 10
 
Answer & Explanation Answer: B) 6

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Q:

P, Q and R alone can complete a work in 12, 15 and 20 days respectively. In how many days will they together complete the same work?

 

A) 4 B)  5  
C)  6   D) 3.5
 
Answer & Explanation Answer: D) 3.5

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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:

12 men and 16 women together can complete a work in 4 days. It takes 80 days for one man alone to complete the same work, then how many days would be required for one woman alone to complete the same work?

 

A) 160 B) 150
C) 130 D) 175
 
Answer & Explanation Answer: A) 160

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