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:

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:

Five men or ten women can complete a job in 20 days. In how many days can 3 men and 4 women complete it?

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

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Q:

Shivam is 10% less efficient than Vivek. If Vivek can make a helmet in 9 days, then in how many days Shivam can complete the same work?

 

A) 15 B) 12
C) 10 D) 8
 
Answer & Explanation Answer: C) 10

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Q:

If 15 persons can do a job in 30 days, then 30 persons with twice the efficiency can do the same job in how many days?

A) 7 B) 3.5
C) 5 D) 7.5
 
Answer & Explanation Answer: D) 7.5

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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, B and C are employed to complete a work in Rs. 784. If A and B together complete 23/28 of the work. Calculate the wages (in Rs.) paid to C?

A) 280 B) 140
C) 70 D) 56
 
Answer & Explanation Answer: B) 140

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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:

10 people can build a wall in 12 days. Six people, each only half as efficient as those in the first group, will be able to complete 3/5 of such a wall in

A) 24 days B) 20 days
C) 18 days D) 25 days
 
Answer & Explanation Answer: A) 24 days

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