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:

Akash is 3 times as good a workman as Baldev and therefore is able to finish a job in 40 days less than Baldev. Working together, they can finish it in _____.

A) 15 days B) 60 days
C) 20 days D) 10 days
 
Answer & Explanation Answer: A) 15 days

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2 1977
Q:

Manish can complete a work in 21 days and Karan can complete the same work in 28 days. If both together work for 7 days, then what fraction of total work is left?

 

A) 3/5 B) 2/3
C) 7/12 D) 5/12
 
Answer & Explanation Answer: D) 5/12

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3 1975
Q:

Azhar is 4 times as good a workman as Balaraj and therefore is able to finish a job in 45 days less than Balaraj. Working together, they can do it in:

A) 6 days B) 18 days
C) 24 days D) 12 days
 
Answer & Explanation Answer: D) 12 days

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0 1972
Q:

A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 4 days. How long B alone would take to do the whole work?

A) 12.5 days B) 100 days
C) 22.5 days D) 35 days
 
Answer & Explanation Answer: B) 100 days

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0 1970
Q:

Amit can complete a work in 25 days and Punit can complete the same work in 20 days. Punit alone worked at it for 10 days and then left the work. In how many days will Amit alone complete the remaining work?

A) 10.5 B) 11.5
C) 12.5 D) 13.5
 
Answer & Explanation Answer: C) 12.5

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1 1969
Q:

A can finish a work in 7 days . B can finish the same work in 9 days . The days required to finish the work by both of them together.

A) 31/16 B) 47/16
C) 63/16 D) 79/16
 
Answer & Explanation Answer: C) 63/16

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0 1967
Q:

A can paint a house in 45 days and B can do it in 15 days. Along with C, they did the job in 5 days only. Then, C alone can do the job in how many days?

A) 12 B) 9
C) 15 D) 8
 
Answer & Explanation Answer: B) 9

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0 1964
Q:

Robin can do a work alone in 9 days. Amit can do the same work alone in 6 days. Both of them finish the work together and they get a total Rs 2500. What isthe share (in Rs) of Robin?

A) 1700 B) 1200
C) 1500 D) 1000
 
Answer & Explanation Answer: D) 1000

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2 1960