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:

P can complete a work in 15 days and Q in 24 days. They began the work together, but Q left the work 2 days before its completion. In how manydays, was the work completed?

A) 12 B) 10
C) 9 D) 11
 
Answer & Explanation Answer: B) 10

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Q:

B would have taken 10 hours more than what A would have taken to complete a task if each of them worked alone. Working together they can complete the task in 12 hours. How many hours would B take to do 50% of the task?

A) 30 B) 15
C) 20 D) 10
 
Answer & Explanation Answer: B) 15

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Q:

3 men or 4 women can complete a job in 120 days. 12 men and 16 women will complete the same job in how many days?

A) 12 B) 14
C) 15 D) 18
 
Answer & Explanation Answer: C) 15

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Q:

Chutki can bake 30 cakes in 15 hours. Chutki and Badki together can bake 90 cakes in 30 hours. How many cakes Badki can bake in 10 hours?

A) 75 B) 20
C) 10 D) 60
 
Answer & Explanation Answer: C) 10

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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:

Painter A can paint a house in 40 days and Painter B can do it in 60 days. With help of C, they did the job in 20 days only. Then, C alone can do the job in

A) 120 days B) 100 days
C) 90 days D) 80 days
 
Answer & Explanation Answer: A) 120 days

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Q:

P can do a work in 10 days. Q can do the same work in 15 days. If they work together for 5 days, how much of the work will they complete?

A) 1/2 B) 2/3
C) 1/3 D) 5/6
 
Answer & Explanation Answer: D) 5/6

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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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