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:

X is 25% more efficient than Y. If Y alone can make a chair in 10 days, then X alone can make the chair in how many days?

A) 8 B) 12
C) 12.5 D) 7.5
 
Answer & Explanation Answer: A) 8

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Q:

A new topic named Problem Solving was also introduced and it was decided that 10% time of all topics except Arithmetic will be devoted to it. What will be the central angle (in degrees) made by Problem Solving in the new pie chart?

A) 17.28 B) 18
C) 19.44 D) 36
 
Answer & Explanation Answer: C) 19.44

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Q:

A can do a work in 12 days and B in 24 days. If they work on it together for 4 days, then what fraction of work is left?

A) 1/3 B) 1/2
C) 1/4 D) 1/5
 
Answer & Explanation Answer: B) 1/2

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Q:

Amal is 5 times as good a workman as Bhairav and therefore is able to finish a job in 48 days less than Bhairav. Working together, they can do it in

A) 20 days B) 5 days
C) 25 days D) 10 days
 
Answer & Explanation Answer: D) 10 days

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Q:

X alone can do a piece of work in 12 days and Y alone can do the same work in 6 days. In how many days will both together complete the same work?

A) 3 B) 4
C) 5 D) 2
 
Answer & Explanation Answer: B) 4

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Q:

Manjeet can do a work in 18 hours. If he is joined by Jaya who is 100% more efficient, in what time will they together finish the work?

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

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Q:

X does 25% of a work in 20 days. Y joins X and they together finish the remaining work in 15 days. Y alone can do the whole work in ___ days.

 

A) 30 days B) 25 1/2 days
C) 26 2/3 days D) 26 1/5 days
 
Answer & Explanation Answer: C) 26 2/3 days

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Q:

A and B can together do a piece of work in 6 days and A alone can do it in 9 days. The number of days B will take to do it alone is

A) 18 days B) 24 days
C) 9 days D) 12 days
 
Answer & Explanation Answer: A) 18 days

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