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 does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 4 days. How long B alone would take to do the whole work?

A) 12.5 days B) 100 days
C) 22.5 days D) 35 days
 
Answer & Explanation Answer: B) 100 days

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Q:

Akash is 3 times as good a workman as Baldev and therefore is able to finish a job in 40 days less than Baldev. Working together, they can finish it in _____.

A) 15 days B) 60 days
C) 20 days D) 10 days
 
Answer & Explanation Answer: A) 15 days

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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:

Five women can do a work in 36 days. If the ratio between the capacity of a man and a woman is 3:1, then find how many days it will take 5 men to complete the same woek?

A) 12 days B) 15 days
C) 18 days D) 108 days
 
Answer & Explanation Answer: A) 12 days

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Q:

A,B and C contract a work for Rs. 440. Together A and B are to do 9/11 of the work. The share of C should be:

A) 75 B) 90
C) 100 D) 80
 
Answer & Explanation Answer: D) 80

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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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Q:

P and Q can do a project in 60 and 30 days respectively. In how many days can they complete 90% of the project if they work together?

A) 9 days B) 27 days
C) 36 days D) 18 days
 
Answer & Explanation Answer: D) 18 days

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Q:

Ehsaan is twice as good a worker as Kamal and together they finish a piece of work in 29 days. In how many days will Kamal, working alone, finish the work?

A) 58 B) 70
C) 87 D) 116
 
Answer & Explanation Answer: C) 87

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