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:

Rakshanth is twice as good as tradesman as Verma and together they finish a piece of work in 19 days. In how many dayswill Verma alone finish the work?

A) 38 B) 57
C) 76 D) 50
 
Answer & Explanation Answer: B) 57

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Q:

12 men and 16 women together can complete a work in 4 days. It takes 80 days for one man alone to complete the same work, then how many days would be required for one woman alone to complete the same work?

 

A) 160 B) 150
C) 130 D) 175
 
Answer & Explanation Answer: A) 160

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Q:

Some masons promised to do a work in 10 days but 8 of them were absent and remaining did the work in 18 days. What was the original number of masons?

 

A) 10 B) 21
C) 15 D) 18
 
Answer & Explanation Answer: D) 18

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Q:

Ramesh and Rahman can do a work in 20 and 25 days respectively. After doing collectively 10 days of work, they leave the work due to illness and Suresh completes rest of the work in 3 days. How many days Suresh alone can take to complete the whole work ?

A) 32 days B) 28 days
C) 29 days D) 30 days
 
Answer & Explanation Answer: D) 30 days

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Q:

12 men or 30 boys can complete a work in 72 days. How many days will 48 men and 24 boys will take to complete the same work?

A) 20 B) 18
C) 15 D) 25
 
Answer & Explanation Answer: C) 15

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Q:

A and B can do a piece of work in 72 days. B and C can do it in 120 days and A and C can do it in 90 days. A alone can do it in:

A) 120 days B) 130 days
C) 150 days D) 100 days
 
Answer & Explanation Answer: A) 120 days

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Q:

A and B can complete a task in 20 days, B and C can complete it in 30 days while C and A can do the same task together in 24 days. How many days will each of and C take to complete the task individually? 

 

A) 50 and 54  B) 54 and 72 
C) 48 and 80  D) 56 and 64
 
Answer & Explanation Answer: C) 48 and 80 

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Q:

If A alone can do a job in 40 days then, in how many days can B alone do the job if together they can do the job in 8 days?

A) 15 B) 10
C) 20 D) 25
 
Answer & Explanation Answer: B) 10

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