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 Time and Work Questions

Popular Latest Rated Important Formulae

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 : 

Efficiency∝1No 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 work in 15 days and B in 20 days. If they work on it together for 6 days, then what fraction of work is left?

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

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Q:

B is thrice as efficient as A and C is 0.75 times as efficient as A. What is the ratio of number of days taken by A, B and C when they work individually?

A) 4:1:3 B) 3:1:4
C) 2:3:1 D) 5:1:2
 
Answer & Explanation Answer: B) 3:1:4

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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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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:

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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Q:

Arun and Amit can do a piece of work in 9 days and 12 days respectively. If they work for alternate days and Amit starts the work first, then in how many days 35/36 parts of whole work will be completed?

A) 10 days B) 12 days
C) 5 days D) 8 days
 
Answer & Explanation Answer: A) 10 days

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Q:

A man engaged a servant on a condition that he would pay him Rs. 80 and a pair of jeans after service of one year. Servant served for only 9 months and receives a pair of jeans and an amount of Rs. 55. The price of the jeans is ________.

 

A) Rs. 80   B) Rs. 60
C) Rs. 40 D) Rs. 20
 
Answer & Explanation Answer: D) Rs. 20

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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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