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:

Amar can complete a work in 30 days and Raman can complete the same work in 15 days. If both of them work together, then in 4 days what percent of the total work will be completed?

A) 15 B) 37
C) 40 D) 45
 
Answer & Explanation Answer: C) 40

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2 2040
Q:

Type 1 workers are 2.5 times as efficient as type 2 workers. Twelve Type 1 workers can complete a task in 10 days. How many days would it have taken 4 Type 1 and 15 Type 2 workers to do the same work?

 

A) 13 B) 10
C) 12 D) 11
 
Answer & Explanation Answer: D) 11

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4 2035
Q:

A, B and C can do a job working alone in 12, 16 and 24 days respectively. In how many days they can do the job if they worked together?

A) 16/3 B) 15/4
C) 17/3 D) 19/4
 
Answer & Explanation Answer: A) 16/3

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0 2021
Q:

A, B and C together can complete a work in 25 days. If the ratio of efficiency of A, B and C is 15 : 10 : 6 respectively, then in how many days C alone can complete the same work?

A) 727/6 B) 725/6
C) 775/6 D) 745/6
 
Answer & Explanation Answer: C) 775/6

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0 2017
Q:

Prabodh has done 1/2 of a job in 30 days, Sapan completes the rest of the job in 45 days. In how many days can they together do the job?

A) 18 days B) 48 days
C) 27 days D) 36 days
 
Answer & Explanation Answer: D) 36 days

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0 2017
Q:

Parvesh is three times as efficient as Dinesh. Parvesh takes 20 days less than Dinesh to complete a book. If both of them work together, then in how many days the book will be completed?

A) 7.5 B) 8
C) 10 D) 6.5
 
Answer & Explanation Answer: A) 7.5

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0 2010
Q:

Pannalal has done 1/3rd of a job in 20 days, Saiprasad completes the rest of the job in 10 days. In how many days can they together do the job?

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

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Exam Prep: AIEEE , Bank Exams , CAT

4 1992
Q:

Ram and Hari can cut 12 kgs nuts in 2 days. After 5 days, Hari left the work. Ram took 8 more days to cut the rest of the nuts. If total of 58 kgs of nuts were cut, the time taken by Hari to cut 10 kg of nuts is

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

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1 1987