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 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:

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:

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:

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:

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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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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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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