Time and Work – Concept, Formula & Aptitude Questions

Time and work

Time and Work Introduction :

Working Time: The total number of days it takes to complete a piece of work is called working time.

Ex: If A can do a piece of work in 20 days, then the working time of A = 20 days.

Working Capacity: A part of the work that has been done in a period of time or per day work is called Working capacity.

Ex: If A can do a piece of work in 20 days, then the working capacity of A = 1/20.

∴ Working Time ∝ 1/Working Capacity.

Time and Work Basic Formulas:

  1. if A can complete work in x days and B can Complete the work in y days, then A and B working together on the same piece of work will be completed in xy/(x+y).
  2. If M1 persons can do W1 work in D1 days and M2 persons can do W2 work in D2 days then we have a formula in the relationship of M1D1W2 =M2D2W1  

From the above formula, we can derive (i) M1D1T1W2 =M2D2T2W1            (ii)M1D1T1E1W2 = M2D2T2E2W1 

Here T = Time and E = efficiency

Time and Work Practice Quizzes

Time and Work Quiz 1

Time and Work Quiz 2

Time and Work Quiz 3 – Coming Soon

Examples of Problems and Solutions

Q1) A and B can complete a work alone in 18 days and 24 days respectively. If B started work alone and after 3 days A also joined then in how many days whole work will be completed.

  1. 6 days
  2. 12 days
  3. 8 days
  4. 10 days
  5. 15 days

Solution:
time and work

 

 

 

 

 

 

 

 

Q2) A and B can complete a work in 6 days and 10 days respectively, both work for 2.5 days together and the remaining work done by A alone, find time taken by A to complete the remaining work?

  1. 5 days
  2. 10/3 days
  3. 5 days
  4. 8 days
  5. 2 days

Solution:

time and work

 

 

 

 

Q3) Sanjay can complete 80% of the work in 32 days and when he worked with Sunny, they take 18 days to complete 75% of the same work. Find the time taken by Sunny alone to complete the same work alone?

  1. 60 days
  2. 40 days
  3. 30 days
  4. 80 day
  5. 75 days

Solution:

time and work

 

 

 

 

 

 

Q4) Priya can do 1/2 of the work in 10 days while Pooja can do 1/3 of the work in 10 days. How long it will take for both of them to finish the work if Priya started the work and they work on alternative days.

  1. 15 days
  2. 18 days
  3. 21 days
  4. 24 days
  5. 27 days

Solution:

time and work

 

 

 

 

 

 

Q5) Neha who is 50% more efficient than Ritu who take double time than Priya to complete a work. Neha can complete a work in ‘x’ days while Priya can complete the same work in (x – 15) days. In how many days all three can completes the same work together?

  1. 36 days
  2. 30 days
  3. 5 days
  4. 20 days
  5. 18 days

Solution:

time and work

 

 

 

 

 

 

 

 

 

 

Q6) Wages of 10 women for 5 days is Rs 1250. The daily wage of a man is twice that of a woman. How many men must work for 8 days to earn Rs 1600?

  1. 5 men
  2. 8 men
  3. 4 men
  4. 6 men
  5. None of these

Solution:
time and work

 

 

 

Q7) P and Q together can complete a work in 24 days, while P takes 20 days more than Q to complete the work alone. Find in how many days 50% of work can be completed by Q alone?

  1. 10 days
  2. 20 days
  3. 15 days
  4. 30 days
  5. 40 days

Solution:
Let Q alone can complete work in ‘d’ days
And P alone can complete work in ‘d+20’ days
time and work

Q8) A alone can complete a work in 25 days and B alone can complete the same work in 15 days. If C is 60% less efficient than B, then find time taken by A and C together to complete the same work?

  1. 12 days
  2. 15 days
  3. 16 days
  4. 14 days
  5. 11 days

Solution:

time and work

 

 

 

 

Q9) A work can be completed by 48 men in 80 days, in how many days 16 men can complete the 200% of the same work?

  1. 160 day
  2. 480 days
  3. 300 days
  4. 180 days
  5. 225 days

Solution:
time and work

 

 

Q10) Rahul and Ayush can complete a piece a work alone in 12 days and 20 days respectively, while Deepak takes 2.5 days more than time taken by Rahul & Ayush together to complete the same work. Find the time taken by Deepak to complete the work alone?

  1. 12 days
  2. 10 days
  3. 9 days
  4. 5 days
  5. 5 days

Solution:
time and work

 

 

 

 


Latest Job Notifications | Daily Job updates

You Can visit our YouTube channel for the Latest Job Notifications and Online Classes  In English:-  Click Here  & For Telugu channel:-  Click Here

Latest Job Notifications 2023

Latest Job Notifications


competitiveexamsindia.com is one of the websites in India that provides the latest Job notification Information across India, such as IT jobs, government jobs, bank jobs, railway jobs, work-from-home jobs, part-time jobs, online jobs, pharmacist jobs, software jobs, etc. We also provide practice quizzes, Video classes, and courses through our website & YouTube channels.

Leave a Reply

Your email address will not be published. Required fields are marked *