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:

Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. The ratio between the capacity of a man and a woman is

A) 3:4 B) 4:3
C) 5:3 D) 5:7
 
Answer & Explanation Answer: B) 4:3

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Q:

A and B can complete a task in 12 days. However, A had to leave a few days before the task was completed and hence it took 16 days in all to complete the task. If A alone could complete the work in 21 days, how many days before the work getting over did A leave?

A) 7 B) 5
C) 9 D) 3
 
Answer & Explanation Answer: A) 7

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Q:

If Data Interpretation and Modern Maths were taught for a combined time of 96 hours, then for how much time (in hours) were Number system and Geometry
taught?

A) 136 B) 184
C) 216 D) 232
 
Answer & Explanation Answer: D) 232

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Q:

P, Q and R together can make a table in 40 minutes. P and Q together can make it in 60 minutes. How much time (in minutes) will R alone take to make the table?

A) 100 B) 120
C) 90 D) 150
 
Answer & Explanation Answer: B) 120

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Q:

A can do a work in 12 days while B can do it in 15 days. They undertake to complete it together for Rs. 450. what will be the share of A in this amount of money ?

A) Rs.200 B) Rs.240
C) Rs.250 D) Rs.300
 
Answer & Explanation Answer: C) Rs.250

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Q:

Pramod can paint a wall red in 12 hours while Brajen can whitewash the wall completely in 16 hrs. If Pramod and Brajen work alternately for an hour each starting when the wall has just cement on it till when it is completely painted red, how many hours will it take to paint the entire wall red?

 

A) 89 B) 96
C) 48 D) 95
 
Answer & Explanation Answer: A) 89

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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:

The rate of working of A and B are in the ratio of 2:3. The number of days taken by them to finish the work is in the ratio:

A) 2:3 B) 4:9
C) 3:2 D) 9:4
 
Answer & Explanation Answer: C) 3:2

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