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:

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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3 1964
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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1 1963
Q:

Sashi can do a piece of work in 20 days. Tanya is 25% more efficient than Sashi. The number of days taken by Tanya to do the same piece of work is:

A) 15 B) 16
C) 18 D) 25
 
Answer & Explanation Answer: B) 16

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1 1962
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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0 1960
Q:

Mahanath works 2 times as fast as Sahay. If Sahay can complete a job alone in 21 days, then in how many days can they together finish the job?

A) 7 days B) 6 days
C) 5 days D) 2 days
 
Answer & Explanation Answer: A) 7 days

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0 1956
Q:

Sumit is 28% less efficient than Amit. If Amit can make a wall in 54 days, then Sumit can complete the same work in how many days?

 

A) 75 B) 70
C) 72 D) 76
 
Answer & Explanation Answer: A) 75

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1 1951
Q:

A can do a work in 36 days and B in 12 days. If they work on it together for 3 days, then what fraction of work is left?

A) 2/3 B) 1/3
C) 1/4 D) 1/5
 
Answer & Explanation Answer: A) 2/3

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3 1946
Q:

Manoj can do a piece of work in 42 hours. If he is joined by Jayashree who is 100% more efficient, in what time they will finish the work together?

A) 7 hours B) 3.5 hours
C) 14 hours D) 2.5 hours
 
Answer & Explanation Answer: C) 14 hours

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0 1944