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 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 make a cupboard in 10 days and B can do it in 50 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) 20 B) 25
C) 16 D) 15
 
Answer & Explanation Answer: B) 25

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Q:

Both A and B together can complete a work in 20 days and B alone can complete the same work in 36 days. In how many days will A alone complete the work?

A) 30 B) 50
C) 45 D) 42
 
Answer & Explanation Answer: C) 45

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Q:

Five men or ten women can complete a job in 20 days. In how many days can 3 men and 4 women complete it?

A) 10 B) 25
C) 15 D) 20
 
Answer & Explanation Answer: D) 20

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Q:

A can do a work in 24 days and B in 40 days. If they work on it together for 10 days, then what fraction of work is left?

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

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Q:

Both X and Y together can complete a work in 12 days and Y alone can complete the same work in 30 days. In how many days will X alone complete the work?

 

A) 15 B) 20
C) 18 D) 16
 
Answer & Explanation Answer: B) 20

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Q:

Munni can bake 70 cakes in 7 hours, Munni and Guddi together can bake 90 cakes in 6 hours. How many cakes Guddi can bake in 10 hours?

A) 100 B) 50
C) 125 D) 25
 
Answer & Explanation Answer: B) 50

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Q:

A can complete a work in 20 days and B can complete the same work in 25 days. If both of them work together, then in 3 days what percent of the total work will be completed?

A) 9 B) 12
C) 25 D) 27
 
Answer & Explanation Answer: D) 27

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