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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Q:

Raman can do a work in 5 days, Jatin can do the same work in 7 days and Sachin can do the same work in 9 days. If they do the same work together and they are paid Rs 2860, then what is the share (in Rs) of Raman?

A) 1260 B) 700
C) 900 D) 870
 
Answer & Explanation Answer: A) 1260

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4 1749
Q:

A can complete a task alone in 8 days, while B takes 12 days to do it by herself. Together with C it takes them 4 days to complete the work. If C and D together can complete the task in 15 days, then how many days will D need to complete the task by herself?

A) 36 B) 32
C) 40 D) 30
 
Answer & Explanation Answer: C) 40

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Q:

18 men or 36 boys working 6 hours a day can plough a field in 24 days. In how many days will 24 men and 24 boys working 9 hours a day plough the same field ?

A) 9 B) 10
C) 6 D) 8
 
Answer & Explanation Answer: D) 8

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Q:

S and T can finish a work in 50 days. They worked together for 20 days and then left. How much of the work is left?

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

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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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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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Q:

A, B and C can complete the work in 4, 5 and 6 hours respectively. If they all work together and receive Rs. 777 as wages then find the share of A.

A) Rs. 300 B) Rs. 315
C) Rs. 326 D) Rs. 175
 
Answer & Explanation Answer: B) Rs. 315

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