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 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:

Pradeep has done 1/4th of a job in 14 days, Saquib completes the rest of the job in 56 days. In how many days can they together complete the job?

A) 64 days B) 32 days
C) 16 days D) 8 days
 
Answer & Explanation Answer: B) 32 days

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Q:

A can do 75% of a job in 18 days and B can do 25% of the job in 12 days. If they work on it together, in how many days can they do 75% of the job?

A) 16 B) 8
C) 20 D) 12
 
Answer & Explanation Answer: D) 12

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Q:

P can do a work in 10 days. Q can do the same work in 15 days. If they work together for 5 days, how much of the work will they complete?

A) 1/2 B) 2/3
C) 1/3 D) 5/6
 
Answer & Explanation Answer: D) 5/6

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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 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:

Amar is 2 times as good a workman as Badal and therefore is able to finish a job in 15 days less than Badal. In how many days can they together complete the job?

A) 30 days B) 40 days
C) 10 days D) 20 days
 
Answer & Explanation Answer: C) 10 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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