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:

Amit can complete a work in 25 days and Punit can complete the same work in 20 days. Punit alone worked at it for 10 days and then left the work. In how many days will Amit alone complete the remaining work?

A) 10.5 B) 11.5
C) 12.5 D) 13.5
 
Answer & Explanation Answer: C) 12.5

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Q:

A can do a work in 8 days, B can do the same work in 10 days and C can do the same work in 12 days. If all three of them do the same work together and they are paid Rs 7400, then what is the share (in Rs) of B?

A) 2600 B) 3000
C) 2400 D) 2000
 
Answer & Explanation Answer: C) 2400

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Q:

P and Q can do a project in 150 and 100 days respectively. In how many days can they complete 60% of the project if they work together?

A) 12 days B) 72 days
C) 42 days D) 36 days
 
Answer & Explanation Answer: D) 36 days

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Q:

A labourer can do a job in 50 hours. After 5 hours he takes a break. What fraction of the job is yet to be done?

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

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Q:

A can do a piece of work in 6 days working 8 hours a day while B can do the same work in 4 days working 10 hours a day. If the work has to be completed in 5 days, so how many hours do they need to work together in a day?

A) 59/11 B) 48/11
C) 70/11 D) 65/11
 
Answer & Explanation Answer: B) 48/11

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Q:

If 10 people can do a job in 20 days,then 20 people with twice the efficiency can do the same job in

A) 5 days B) 10 days
C) 20 days D) 40 days
 
Answer & Explanation Answer: A) 5 days

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Q:

Akash is 3 times as good a workman as Baldev and therefore is able to finish a job in 40 days less than Baldev. Working together, they can finish it in _____.

A) 15 days B) 60 days
C) 20 days D) 10 days
 
Answer & Explanation Answer: A) 15 days

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Q:

The time taken by 4 men to complete a job is double the time taken by 5 children to complete the same job. Each man is twice as fast as a woman. How long will 12 men, 10 children and 8 women take to complete a job, given that a child would finish the job in 20 days.

A) 4 Days B) 3 Days
C) 2 Days D) 1 Day
 
Answer & Explanation Answer: D) 1 Day

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