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:

A and B undertake a piece of work for Rs. 250 . A alone can do that work in 5 days and B alone can do that work in 15 days . With the help of C, they finish the work in 3 days . If every one gets paid in proportion to work done by them, the amount C will get is 

A) Rs.50 B) Rs.100
C) Rs.150 D) Rs.200
 
Answer & Explanation Answer: A) Rs.50

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Q:

Rashika can do a work in 5 days. Rashmi can do the same work in 7 days. Both of them finish the work together and they get Rs 240 for the work. What isthe share (in Rs) of Rashika?

 

A) 120 B) 100
C) 140 D) 160
 
Answer & Explanation Answer: C) 140

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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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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 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:

P does half as much work as Q in 1/3 of the time. If together they take 15 days to complete a work, how many days will P take to do it alone?

 

A) 18   B) 25  
C) 24   D) 21
 
Answer & Explanation Answer: B) 25  

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Q:

Rahul can complete a work in 18 days and Sonu can complete the same work in 15 days. If both together work for 5 days, then what part of total work is left?

 

A) 7/15 B) 11/18
C) 7/18 D) 8/15
 
Answer & Explanation Answer: C) 7/18

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