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 and B in 24 days. If they work on it together for 4 days, then what fraction of work is left?

A) 1/3 B) 1/2
C) 1/4 D) 1/5
 
Answer & Explanation Answer: B) 1/2

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Q:

Meghnad can do a piece of work in 45 hours. If he is joined by Jayshri, who is 50% more efficient, in what time will they together finish the work?

A) 9 hours B) 6 hours
C) 12 hours D) 18 hours
 
Answer & Explanation Answer: D) 18 hours

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Q:

Manish, Mukesh and Sachin are Accountants. Mukesh can filea return in 5 hours and Sachin in 4 hours alone. All three together can do it in 2 hours. In what time (in hrs) will Manish do the work?

A) 15 B) 20
C) 17 D) 10
 
Answer & Explanation Answer: B) 20

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Q:

A can do a piece of work in 20 days and B in 15 days. With help of C, they finish the work in 5 days. C can alone do the work in

A) 5 days B) 6 days
C) 10 days D) 12 days
 
Answer & Explanation Answer: D) 12 days

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Q:

X alone can do a piece of work in 12 days and Y alone can do the same work in 6 days. In how many days will both together complete the same work?

A) 3 B) 4
C) 5 D) 2
 
Answer & Explanation Answer: B) 4

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Q:

Working 7 hours in a day, 4 men can do a piece of work in 8 days. Working 8 hours in a day, the required number of men to perform the same work in 4 days will be

A) 8 B) 4
C) 7 D) 9
 
Answer & Explanation Answer: C) 7

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Q:

Mr. Raghav taught Geometry for 36 hours. If the time taken in teaching Ratio consitutes one-fourth of the time for Arithmetic, then for how much time (in hours) did he taught the topic of Ratio?

A) 46 B) 51.75
C) 69 D) 103.5
 
Answer & Explanation Answer: C) 69

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Q:

X is 25% more efficient than Y. If Y alone can make a chair in 10 days, then X alone can make the chair in how many days?

A) 8 B) 12
C) 12.5 D) 7.5
 
Answer & Explanation Answer: A) 8

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