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 and B together can complete a piece of work in 12 days. They worked together for 5 days and then A alone finished the rest work in 14 days. A alone can complete the work in _____.

A) 24 days B) 22 days
C) 20 days D) 18 days
 
Answer & Explanation Answer: A) 24 days

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1 1998
Q:

A is twice as good as B and together they finish a piece of work in 16 days. The number of days taken by A alone to finish the work is

A) 20 days B) 21 days
C) 22 days D) 24 days
 
Answer & Explanation Answer: D) 24 days

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0 1993
Q:

A school has 8 periods of 45 minutes each, every day. How long will each period be if the school has to have 9 periods everyday, assuming the working hours to be the same?

A) 40 min B) 35 min
C) 30 min D) 45 min
 
Answer & Explanation Answer: A) 40 min

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1 1985
Q:

A can do a piece of work in 18 days. He worked at it for 12 days and B finished the remaining work in 8 days. B alone can do the whole work in

A) 16 days B) 24 days
C) 28 days D) 29 days
 
Answer & Explanation Answer: B) 24 days

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0 1982
Q:

Akka can bake 100 cakes in 20 hours, Akka and Tai together can bake 75 cakes in 10 hours. How many cakes Tai can bake in 20 hours?

A) 25 B) 50
C) 30 D) 75
 
Answer & Explanation Answer: B) 50

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1 1975
Q:

20 boys do one fourth of work in 25 days. How many more boys will be required to complete the remaining work in 50 days?

 

A) 8 B) 10
C) 15 D) 20
 
Answer & Explanation Answer: B) 10

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5 1975
Q:

P and Q can do a project in 12 and 12 days respectively. In how many days can they complete 50% of the project if they work together?

A) 6 days B) 3 days
C) 18 days D) 1.5 days
 
Answer & Explanation Answer: B) 3 days

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2 1974
Q:

X and Y undertook to do a piece of work for Rs 5400. X alone could do this work in 18 days and Y alone could do this work in 24 days. With the assistance of Z they finished the work in 8 days. What is the share (in Rs) of Z?

 

A) 1200 B) 1500
C) 1600 D) 1800
 
Answer & Explanation Answer: A) 1200

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1 1970