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:

X can complete a task in 8 days, whereas Y can complete the same task in 10 days. If they work together, in how many days will the task be completed?

A) 40/9 B) 9/40
C) 44/9 D) 9/44
 
Answer & Explanation Answer: A) 40/9

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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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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:

Abhinav is 2 times as good a workman as Balwant and therefore is able to finish a job in 36 days less than Balwant. Working together, they can do it in

A) 12 days B) 6 days
C) 18 days D) 24 days
 
Answer & Explanation Answer: D) 24 days

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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:

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:

Five women can do a work in 36 days. If the ratio between the capacity of a man and a woman is 3:1, then find how many days it will take 5 men to complete the same woek?

A) 12 days B) 15 days
C) 18 days D) 108 days
 
Answer & Explanation Answer: A) 12 days

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