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:

Working together P, Q and R reap a field in 6 days. If P can do it alone in 10 days and Q in 24 days, in how many days will R alone be able to reap the field?

A) 32 days B) 40 days
C) 45 days D) 60 days
 
Answer & Explanation Answer: B) 40 days

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Q:

Jaikishen can do a piece of work in 15 hours. If he is joined by Jhanvi who is 50% more efficient, in what time will they together finish the work?

A) 6 hours B) 12 hours
C) 3 hours D) 9 hours
 
Answer & Explanation Answer: A) 6 hours

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Q:

A, B and C are employed to complete a work in Rs. 784. If A and B together complete 23/28 of the work. Calculate the wages (in Rs.) paid to C?

A) 280 B) 140
C) 70 D) 56
 
Answer & Explanation Answer: B) 140

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Q:

A certain number of men agreed to do a work in 20 days. 5 men did not come for work. Others completed the work in 40 days. Find the number of men who had agreed to do the work originally.

A) 8 B) 10
C) 12 D) 15
 
Answer & Explanation Answer: B) 10

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Q:

A can paint a house in 42 days and B can do it in 21 days. Along with C, they can finish the job in 7 days only.C alone can do the painting job in how many days, ?

A) 9 B) 12
C) 14 D) 15
 
Answer & Explanation Answer: C) 14

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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:

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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Q:

Arjun and Anurag complete a job in 6 days and 7 days respectively. They worked together and earned a total of Rs. 780. Find Arjun's share in this amount in Rs. ?

A) 490 B) 560
C) 350 D) 420
 
Answer & Explanation Answer: D) 420

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