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:

Mahanath works 2 times as fast as Sahay. If Sahay can complete a job alone in 21 days, then in how many days can they together finish the job?

A) 7 days B) 6 days
C) 5 days D) 2 days
 
Answer & Explanation Answer: A) 7 days

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0 1811
Q:

A can do a work in 20 days and B in 50 days. If they work on it together for 5 days, then what fraction of work is left?

A) 13/20 B) 1/3
C) 1/6 D) 2/9
 
Answer & Explanation Answer: A) 13/20

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4 1810
Q:

X, Y and Z can do a piece of work in 30,40 and 50 days respectively. All three of them began the work together but Y left 4 days before completion of the work. In how many days was the work completed?

A) 660/47 B) 640/47
C) 680/47 D) 665/47
 
Answer & Explanation Answer: A) 660/47

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1 1809
Q:

If 10 people can do a job in 20 days,then 20 people with twice the efficiency can do the same job in

A) 5 days B) 10 days
C) 20 days D) 40 days
 
Answer & Explanation Answer: A) 5 days

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4 1807
Q:

Mandeep works 3 times as fast as Sampat. If Sampat can complete a job alone in 60 days, then in how many days can they together finish the job?

A) 7 days B) 4 days
C) 5 days D) 15 days
 
Answer & Explanation Answer: D) 15 days

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1 1806
Q:

24 men can repair a road in 50 days. If they are joined by 16 more men, then in how much time (in days) the road can be repaired?

A) 28 B)  25
C) 32 D) 30
 
Answer & Explanation Answer: D) 30

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1 1802
Q:

9 women can complete a work in 50 days. If more 6 women were added to them, how many days before the work can be completed?

A) 30 B) 20
C) 15 D) 25
 
Answer & Explanation Answer: B) 20

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10 1802
Q:

35 persons are engaged to complete a work in 60 days. After 32 days it is observed that only (2/5)th part of the work has been done. The number of persons to be engaged to complete the remaining work in the said period is

A) 20 B) 35
C) 30 D) 25
 
Answer & Explanation Answer: D) 25

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2 1798