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:

A new topic named Problem Solving was also introduced and it was decided that 10% time of all topics except Arithmetic will be devoted to it. What will be the central angle (in degrees) made by Problem Solving in the new pie chart?

A) 17.28 B) 18
C) 19.44 D) 36
 
Answer & Explanation Answer: C) 19.44

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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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Q:

Three electronic devices make a beep after every 48 sec, 72 sec and 108 sec respectively. They beeped together at 10 a.m. The time when they will next make a beep together at the earliest is

A) 10:07:12 hrs B) 10:07:24 hrs
C) 10:07:36 hrs D) 10:07:48 hrs
 
Answer & Explanation Answer: A) 10:07:12 hrs

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Q:

Manjeet can do a work in 18 hours. If he is joined by Jaya who is 100% more efficient, in what time will they together finish the work?

A) 6 hours B) 3 hours
C) 12 hours D) 24 hours
 
Answer & Explanation Answer: A) 6 hours

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Q:

Atul can do a piece of work in 18 days, Aaravya is 50% more efficient than Atul. How much more time does Atul take than Aaravya to do the same piece of work?

A) 12 B) 6
C) 18 D) 10
 
Answer & Explanation Answer: B) 6

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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:

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:

Amal is 5 times as good a workman as Bhairav and therefore is able to finish a job in 48 days less than Bhairav. Working together, they can do it in

A) 20 days B) 5 days
C) 25 days D) 10 days
 
Answer & Explanation Answer: D) 10 days

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