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:

Mummy can bake 75 cakes in 15 hours, Mummy and Sister together can bake 120 cakes in 20 hours. How many cakes Sister can bake in 30 hours?

A) 45 B) 30
C) 60 D) 10
 
Answer & Explanation Answer: B) 30

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Q:

Jaikishen can do a piece of work in 15 hours. If he is joined by Jhanvi who is 50% more efficient, in what time will they together finish the work?

A) 6 hours B) 12 hours
C) 3 hours D) 9 hours
 
Answer & Explanation Answer: A) 6 hours

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Q:

Mahanath works 2 times as fast as Sahay. If Sahay can complete a job alone in 21 days, then in how many days can they together finish the job?

A) 7 days B) 6 days
C) 5 days D) 2 days
 
Answer & Explanation Answer: A) 7 days

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Q:

Mother can bake 20 cakes in 4 hours, Mother and Dadima together can bake 60 cakes in 10 hours. How many cakes Dadima can bake in 30 hours?

A) 30 B) 75
C) 60 D) 25
 
Answer & Explanation Answer: A) 30

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Q:

A mason can build a wall in 18 hours. After 9 hours he takes a break. What fraction of the wall is yet to be built?

A) 0.9 B) 0.25
C) 0.5 D) 0.2
 
Answer & Explanation Answer: C) 0.5

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Q:

A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?

A) 75 days B) 37.5 days
C) 17.5 days D) 35 days
 
Answer & Explanation Answer: B) 37.5 days

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Q:

A can do a work in 15 days and B in 20 days. If they work on it together for 6 days, then what fraction of work is left?

A) 1/4 B) 2/9
C) 1/5 D) 3/10
 
Answer & Explanation Answer: D) 3/10

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Q:

Meghnad can do a piece of work in 45 hours. If he is joined by Jayshri, who is 50% more efficient, in what time will they together finish the work?

A) 9 hours B) 6 hours
C) 12 hours D) 18 hours
 
Answer & Explanation Answer: D) 18 hours

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