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:

A is thrice as productive as C. Together they can complete a job in 22.5 days. If B joins them after they have worked for 15 days then in how many days can they finish the rest of the job if B alone can do the job in 15 days?

A) 6 B) 3
C) 9 D) 2
 
Answer & Explanation Answer: B) 3

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1 2076
Q:

50 men can complete a work in 28 days. They started the work together, but at the end of each 10th day, 10 men left the job. The work was completed in how many days?

A) 36 B) 38
C) 40 D) 45
 
Answer & Explanation Answer: C) 40

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3 2073
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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1 2060
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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0 2060
Q:

A can do a certain job in 12 days. B is 60% more efficient than A. Then B can do the same piece of work in

A) 8 days B) 7.5 days
C) 6.4 days D) 5.5 days
 
Answer & Explanation Answer: B) 7.5 days

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3 2057
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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0 2052
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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2 2049
Q:

Painter 'A' can paint a house in 10 days and 'B' can do it in 20 days. With help of 'C', they did the job in 5 days only. Then, 'C' alone can do the job in:

A) 20 days B) 10 days
C) 40 days D) 50 days
 
Answer & Explanation Answer: A) 20 days

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0 2042