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 carpenter can build a cupboard in 48 hours. After 12 hours he takes a break. What fraction of the cupboard is yet to be built?

A) 0.4 B) 0.5
C) 0.75 D) 0.25
 
Answer & Explanation Answer: C) 0.75

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Q:

A can paint a house in 45 days and B can do it in 15 days. Along with C, they did the job in 5 days only. Then, C alone can do the job in how many days?

A) 12 B) 9
C) 15 D) 8
 
Answer & Explanation Answer: B) 9

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Q:

Working together A and B can do a job in 40 days, B and C in 36 days and all three together in 24 days. In how many days can B alone do the job?

A) 60 B) 90
C) 72 D) 120
 
Answer & Explanation Answer: B) 90

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Q:

A and B together do a job in 6.75 days and A could do the job in 9 days if he worked alone. How many days would B take to do the job if he worked alone?

A) 27 B) 18
C) 24 D) 21
 
Answer & Explanation Answer: A) 27

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Q:

A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?

A) 75 days B) 37.5 days
C) 17.5 days D) 35 days
 
Answer & Explanation Answer: B) 37.5 days

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Q:

A can paint a house in 55 days and B can do it in 66 days. Along with C, they did the job in 12 days only. Then, C alone can do the job in how many days?

A) 24 B) 44
C) 33 D) 20
 
Answer & Explanation Answer: D) 20

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Q:

A can finish a work in 7 days . B can finish the same work in 9 days . The days required to finish the work by both of them together.

A) 31/16 B) 47/16
C) 63/16 D) 79/16
 
Answer & Explanation Answer: C) 63/16

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Q:

A does 30% of a work in 30 days. He then calls in B and they together finish the remaining work in 20 days. How long B alone would take to do the whole work?

A) 40 days B) 80 days
C) 120 days D) 20 days
 
Answer & Explanation Answer: A) 40 days

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