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:

Mansukh can do a piece of work in 10 hours. If he is joined by Jayanti who is 50% more efficient, in what time will they together finish the work?

A) 2 hours B) 6 hours
C) 4 hours D) 3 hours
 
Answer & Explanation Answer: C) 4 hours

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Q:

A, B and C can together do a job in 9 days. C alone can do the job in 36 days. In how many days can A and B do 50% of the job working together?

A) 6 B) 12
C) 9 D) 15
 
Answer & Explanation Answer: A) 6

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Q:

If A, B and C together do a job in 4 days, A and C together do the job in 4.5 days and B and C together do the job in 12 days then in how many days can C alone do the job?

A) 36 B) 6
C) 18 D) 12
 
Answer & Explanation Answer: C) 18

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Q:

A and B have to type a book together containing 120 pages. A takes 9 hrs to type 36 pages and B takes 5 hrs to type 40 pages. A typed first 60 pages alone and the last 60 pages were typed by A and B together. How much time (in hours) will be taken to type the complete book?

A) 24 B) 20
C) 12 D) 15
 
Answer & Explanation Answer: B) 20

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Q:

P and Q can do a project in 150 and 100 days respectively. In how many days can they complete 60% of the project if they work together?

A) 12 days B) 72 days
C) 42 days D) 36 days
 
Answer & Explanation Answer: D) 36 days

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Q:

Madhur works 2 times faster than Sagar. If Sagar can complete a job alone in 18 days, then in how many days can they together finish the job?

A) 5 days B) 2 days
C) 6 days D) 4 days
 
Answer & Explanation Answer: C) 6 days

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Q:

A can paint a house in 25 days and B can do it in 10 days. Along with C, they did the job in 6.25 days only. Then in how many days, C alone can do the job?

A) 50 B) 40
C) 30 D) 60
 
Answer & Explanation Answer: A) 50

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Q:

Working alone A can do the task in 27 hours and B can do it in 54 hours. Find C's share (in Rs) if A, B and C get paid Rs 4,320 for completing a task in 12 hours on which they worked together.

A) 1440 B) 960
C) 1920 D) 1280
 
Answer & Explanation Answer: A) 1440

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