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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:

P and Q can complete a task in 50 and 20 days respectively. In how many days can they complete 70% of the task if they work together?

A) 20 days B) 20 days
C) 40 days D) 10 days
 
Answer & Explanation Answer: D) 10 days

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Q:

Mayank, Deepak and Pawan, each of them working alone can complete a work in 5, 10 and 15 days respectively. If all three of them work together to complete a work and earn Rs. 12000 what will be Deepak's share of the earnings?

A) Rs. 2000 B) Rs. 6000
C) Rs. 4000 D) Rs. 3000
 
Answer & Explanation Answer: C) Rs. 4000

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Q:

A and B together do a job in 15 days and A alone could do the same job in 20 days. How many days would B take to do half the job if he worked alone?

A) 60 B) 30
C) 45 D) 40
 
Answer & Explanation Answer: B) 30

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Q:

Atul can do a piece of work in 18 days, Aaravya is 50% more efficient than Atul. How much more time does Atul take than Aaravya to do the same piece of work?

A) 12 B) 6
C) 18 D) 10
 
Answer & Explanation Answer: B) 6

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Q:

Manjeet can do a work in 18 hours. If he is joined by Jaya who is 100% more efficient, in what time will they together finish the work?

A) 6 hours B) 3 hours
C) 12 hours D) 24 hours
 
Answer & Explanation Answer: A) 6 hours

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Q:

The rate of working of A and B are in the ratio of 2:3. The number of days taken by them to finish the work is in the ratio:

A) 2:3 B) 4:9
C) 3:2 D) 9:4
 
Answer & Explanation Answer: C) 3:2

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Q:

X can finish 25% of a work in a day. Y can do 12.5% of the same work in a day. In how many days, will both of them finish the work together?

A) 2.67 days B) 2.33 days
C) 3.33 days D) 3.67 days
 
Answer & Explanation Answer: A) 2.67 days

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Q:

24 men can do a piece of work in 17 days.How many men will be able to do it in 51 days ?

A) 8 B) 10
C) 12 D) 6
 
Answer & Explanation Answer: A) 8

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