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:
 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).
 If M1 persons can do W_{1} work in D_{1} days and M_{2} persons can do W_{2} work in D_{2} days then we have a formula in the relationship of M_{1}D_{1}W_{2} =M_{2}D_{2}W_{1 }
From the above formula, we can derive (i) M_{1}D_{1}T_{1}W_{2} =M_{2}D_{2}T_{2}W_{1 } (ii)M_{1}D_{1}T_{1}E_{1}W_{2} = M_{2}D_{2}T_{2}E_{2}W_{1}
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.
 6 days
 12 days
 8 days
 10 days
 15 days
Solution:
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?
 5 days
 10/3 days
 5 days
 8 days
 2 days
Solution:
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?
 60 days
 40 days
 30 days
 80 day
 75 days
Solution:
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.
 15 days
 18 days
 21 days
 24 days
 27 days
Solution:
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?
 36 days
 30 days
 5 days
 20 days
 18 days
Solution:
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?
 5 men
 8 men
 4 men
 6 men
 None of these
Solution:
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?
 10 days
 20 days
 15 days
 30 days
 40 days
Solution:
Let Q alone can complete work in ‘d’ days
And P alone can complete work in ‘d+20’ days
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?
 12 days
 15 days
 16 days
 14 days
 11 days
Solution:
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?
 160 day
 480 days
 300 days
 180 days
 225 days
Solution:
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?
 12 days
 10 days
 9 days
 5 days
 5 days
Solution:
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