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:

P and Q can do a project in 60 and 30 days respectively. In how many days can they complete 90% of the project if they work together?

A) 9 days B) 27 days
C) 36 days D) 18 days
 
Answer & Explanation Answer: D) 18 days

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Q:

Sumit is 28% less efficient than Amit. If Amit can make a wall in 54 days, then Sumit can complete the same work in how many days?

 

A) 75 B) 70
C) 72 D) 76
 
Answer & Explanation Answer: A) 75

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Q:

Mehdi can complete a work in 25 hours. If he is joined by Jahnavi who is 50% more efficient, in what time will they together finish the work?

A) 12 hours B) 10 hours
C) 3 hours D) 9 hours
 
Answer & Explanation Answer: B) 10 hours

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Q:

A can do as much work in 4 days as B can do in 5, and B can do as much work in 6 days as C in 7. In what time will C do a piece of work which A can do in a week ?

A) 10 5/24 days B) 4 4/5 days
C) 6 8/15 days D) 12 6/19 days
 
Answer & Explanation Answer: A) 10 5/24 days

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Q:

A does 50% of a work in 12 days. He then calls in B and they together finish the remaining work in 8 days. How long B alone would take to complete the whole work?

A) 12 days B) 24 days
C) 36 days D) 48 days
 
Answer & Explanation Answer: D) 48 days

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Q:

A can do 75% of a job in 9 days and B can do half of the job in 8 days. If they work on it together, then in how many days can they do half of the job?

A) 40/7 B) 24/7
C) 7/2 D) 9/2
 
Answer & Explanation Answer: B) 24/7

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Q:

18 men or 36 boys working 6 hours a day can plough a field in 24 days. In how many days will 24 men and 24 boys working 9 hours a day plough the same field ?

A) 9 B) 10
C) 6 D) 8
 
Answer & Explanation Answer: D) 8

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Q:

X can complete 5/7 part of a work in 10 days and Y can complete 3/4 part of the same work in 9 days. In how many days will both complete 13/21 part  of the total work?

 

A)  6 B) 4
C) 3 D) 12
 
Answer & Explanation Answer: B) 4

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