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 can do a piece of work in 18 days. He worked at it for 12 days and B finished the remaining work in 8 days. B alone can do the whole work in

A) 16 days B) 24 days
C) 28 days D) 29 days
 
Answer & Explanation Answer: B) 24 days

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Q:

P alone can do a piece of work in 8 days and Q alone can do the same work in 10 days. In how many days will both together complete the same work?

A) 40/9 B) 20/9
C) 60/7 D) 40/7
 
Answer & Explanation Answer: A) 40/9

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Q:

Type 1 workers can do three times the work of Type 2 workers. Twelve Type 1 workers can complete a task in 10 days. How many days would it have taken 4 Type 1 and 8 Type 2 workers to complete the same task?

A) 16 B) 17
C) 20 D) 18
 
Answer & Explanation Answer: D) 18

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Q:

A can do a work in 15 days and B in 20 days. If they work on it together for 5 days, then what fraction of work is left?

A) 2/9 B) 3/10
C) 5/12 D) 1/4
 
Answer & Explanation Answer: C) 5/12

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Q:

X, Y and Z can do a piece of work in 30, 40 and 50 days respectively. All three of them began the work together but Y left 4 days before completion of the work. In how many days was the work completed?

A) 660/47 B) 640/47
C) 680/47 D) 665/47
 
Answer & Explanation Answer: A) 660/47

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Q:

Akhilesh is two times as good a workman as Bansi and therefore is able to finish a job in 39 days less than Bansi. Working together, they can do it in

A) 13 days B) 24 days
C) 26 days D) 12 days
 
Answer & Explanation Answer: C) 26 days

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Q:

Mahmood can do a piece of work in 40 hours. If he is joined by Janaki who is 50% more efficient, in what time will they together finish the work?

A) 2 hours B) 6 hours
C) 16 hours D) 3 hours
 
Answer & Explanation Answer: C) 16 hours

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Q:

A does 1/2 as much work as B and C does1/2as much work as A and B together. If C alone can finish the work in 40 days, then together all will finish the work in

A) 30 days B) 40/3 days
C) 15 days D) 16 days
 
Answer & Explanation Answer: B) 40/3 days

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