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:

Ajay can do a painting in 12 days. Amit is 70% more efficient than Ajay. What is the number of days Amit would need to finish the same painting?

 

A) 6415 B) 5113
C) 335 D) 7117
 
Answer & Explanation Answer: D) 7117

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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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Q:

If 5 person together can make 5 mats in 5 hrs, then 10 person in 10 hours will make

A) 20 mats B) 10 mats
C) 15 mats D) 5 mats
 
Answer & Explanation Answer: A) 20 mats

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Q:

A, B and C can finish a job working alone in 12, 8 and 24 days respectively. In how many days they can finish the job if they worked together?

A) 5 B) 6
C) 4 D) 3
 
Answer & Explanation Answer: C) 4

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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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Q:

Vikram and Vivek can finish a work in 50 days. They worked together for 20 days and then left. How much work has been done by them?

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

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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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Q:

A mason can build a wall in 70 hours. After 7 hours he takes a break. What fraction of the wall is yet to be built?

A) 0.9 B) 0.8
C) 0.5 D) 0.75
 
Answer & Explanation Answer: A) 0.9

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