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 Time and Work Questions

Popular Latest Rated Important Formulae

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 : 

Efficiency∝1No 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:

Ram is thrice as fast as Mohan and Nohan is twice as fast as Sohan. The distance covered by Sohan in 42 minutes will be covered by Mohan in

 

A) 18 min B) 21 min
C) 20 min D) 22 min
 
Answer & Explanation Answer: B) 21 min

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Q:

X does 25% of a work in 20 days. Y joins X and they together finish the remaining work in 15 days. Y alone can do the whole work in ___ days.

 

A) 30 days B) 25 1/2 days
C) 26 2/3 days D) 26 1/5 days
 
Answer & Explanation Answer: C) 26 2/3 days

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Q:

A and B can complete a piece of work in 10 days and 15 days respectively. B starts the work and is joined by A after 5 days. If they earn a total of Rs. 60, what are their individual shares?

A) Rs.24, Rs.36 B) Rs.30, Rs.30
C) Rs.20, Rs.40 D) Rs.25, Rs.35
 
Answer & Explanation Answer: A) Rs.24, Rs.36

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Q:

R is 80% more efficient than S. If S alone can make a book in 90 days, then R alone can make the book in how many days?

 

 

A) 65 B) 60
C) 50 D) 70
 
Answer & Explanation Answer: C) 50

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Q:

P can make a table in 16 days while Q can make it in 20 days. Q started the work and did that work for 5 days. In how many days P can complete the remaining work?

 

A)  10 B)  12
C)  15 D) 18
 
Answer & Explanation Answer: B)  12

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Q:

In a factory, 60 workers can stitch 120 m of clothes in 7 days, what length of clothes can be stitched by 70 workers in 5 days?

 

A) 100 m B) 90 m
C) 85 m D) 110 m
 
Answer & Explanation Answer: A) 100 m

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Q:

If 60 boys can finish a work in 15 days by working 8 hours a day, then how many hours a day should 72 boys work to finish that work within 20 days?

 

A) 4 B) 6
C) 5 D) 7
 
Answer & Explanation Answer: C) 5

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