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:

Murad can do a piece of work in 33 hours. If he is joined by Joel who is 100% more efficient, in what time will they together finish the work?

A) 4 hours B) 6 hours
C) 2 hours D) 11 hours
 
Answer & Explanation Answer: D) 11 hours

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Q:

Robin can do a work alone in 9 days. Amit can do the same work alone in 6 days. Both of them finish the work together and they get a total Rs 2500. What isthe share (in Rs) of Robin?

A) 1700 B) 1200
C) 1500 D) 1000
 
Answer & Explanation Answer: D) 1000

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Q:

A can paint a house in 45 days and B can do it in 15 days. Along with C, they did the job in 5 days only. Then, C alone can do the job in how many days?

A) 12 B) 9
C) 15 D) 8
 
Answer & Explanation Answer: B) 9

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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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Q:

A can do a work in 15 days and B in 9 days. If they work on it together for 5 days, then what fraction of work is left?

A) 1/6 B) 3/7
C) 1/3 D) 1/9
 
Answer & Explanation Answer: D) 1/9

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Q:

Manish can complete a work in 21 days and Karan can complete the same work in 28 days. If both together work for 7 days, then what fraction of total work is left?

 

A) 3/5 B) 2/3
C) 7/12 D) 5/12
 
Answer & Explanation Answer: D) 5/12

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Q:

Ranjith can complete a task in 25 days while Anji can finish it in 20 days. They work together on the task for 5 days and then Ranjith leaves. In how many days will Anji finish the remaining work?

A) 15 days B) 10 days
C) 11 days D) 9 days
 
Answer & Explanation Answer: C) 11 days

Explanation:

Lcm of 25 and 20 is 100. So total work = 100 units
Ranjith can do 4 units per day while anju can do 5 units per day
They together complete 5 days of work i.e 9 x 5 = 45 units
The remaining 55 units of work is done by anju in 55/5 days (or) 11 days

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