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:

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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Q:

Raja and Kundan together can build a wall in 20 days, Kundan and Mahesh build the same wall in 30 days and Mahesh and Raja can build the same wall in 24 days. In how many days can all the three complete the same wall while working together?

A) 18 B) 16
C) 20 D) 14
 
Answer & Explanation Answer: B) 16

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Q:

A, B and C can do job in 9, 12 and 36 days respectively if they worked alone. A leaves after they have worked together for 3 days. In how many days can B and C do the rest of the job?

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

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Q:

Ramesh and Rahman can do a work in 20 and 25 days respectively. After doing collectively 10 days of work, they leave the work due to illness and Suresh completes rest of the work in 3 days. How many days Suresh alone can take to complete the whole work ?

A) 32 days B) 28 days
C) 29 days D) 30 days
 
Answer & Explanation Answer: D) 30 days

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Q:

P and Q can complete a task in 50 and 20 days respectively. In how many days can they complete 70% of the task if they work together?

A) 20 days B) 20 days
C) 40 days D) 10 days
 
Answer & Explanation Answer: D) 10 days

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Q:

Arun and Amit can do a piece of work in 9 days and 12 days respectively. If they work for alternate days and Amit starts the work first, then in how many days 35/36 parts of whole work will be completed?

A) 10 days B) 12 days
C) 5 days D) 8 days
 
Answer & Explanation Answer: A) 10 days

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Q:

A can do a piece of work in 9 days while B can do it in 12 days. A and B together can do the work in

A) 5 1/7 days B) 5 2/7 days
C) 6 1/7 days D) 6 2/7 days
 
Answer & Explanation Answer: A) 5 1/7 days

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Q:

X can finish 25% of a work in a day. Y can do 12.5% of the same work in a day. In how many days, will both of them finish the work together?

A) 2.67 days B) 2.33 days
C) 3.33 days D) 3.67 days
 
Answer & Explanation Answer: A) 2.67 days

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