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:

M is thrice as good as workman as N and together they finish a piece of work in 30 days. In how many days will M alone finish the work?

A) 50 B) 40
C) 60 D) 45
 
Answer & Explanation Answer: B) 40

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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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Q:

A can do a work in 8 days, B can do the same work in 10 days and C can do the same work in 12 days. If all three of them do the same work together and they are paid Rs 7400, then what is the share (in Rs) of B?

A) 2600 B) 3000
C) 2400 D) 2000
 
Answer & Explanation Answer: C) 2400

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Q:

A labourer can do a job in 50 hours. After 5 hours he takes a break. What fraction of the job is yet to be done?

A) 0.8 B) 0.5
C) 0.75 D) 0.9
 
Answer & Explanation Answer: D) 0.9

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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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Q:

Prabhat has done 1/2 of a job in 12 days. Santosh completes the rest of the job in 6 days. In how many days can they together do the job?

A) 12 days B) 4 days
C) 8 days D) 16 days
 
Answer & Explanation Answer: C) 8 days

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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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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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