In
this blog post, we will discuss about Time & Work.
In
the realm of aptitude and mathematics, the concept of time and work is crucial
for solving problems related to the efficiency and productivity of individuals
or groups.
Key Formula:
- Work=Rate × Time
- Inverse Proportionality:
The relationship between time and work is inversely proportional. As the time taken decreases, the amount of work done increases, and vice versa.
- Combined Work:
When two or more individuals work together, their rates are additive. The combined rate is the sum of individual rates.
Example:
1) Ram can complete a work in 10 days, while Shiva can complete it in 5 days. Find the time taken to complete the work if both Ram & Shiva work together.
Rate of Ram (per day): 1/10
Rate of Shiva (per day): 1/5
Combined Rate (per day) = 1/10 + 1/5 => 3/10
To get the duration to complete the work, do a reciprocal of the combined rate which is 10/3 days.
Time => 3.33 days
2) If Shiva & Ram work together they complete the work in 12 days. If Shiva alone works, he takes 18 days to complete. Find the work rate of Ram.
Time=12
Rate of work=1/12
Rate of Siva=1/18
Rate of Ram=1/12-1/18 =>1/36
Click Here to test your knowledge on Time & Work
Instructions:
- Choose Profit & Work from 'Select test Topic' drop down.
- Each correct selection results in 1 mark.
- Each in-correct selection results in -0.33 mark.
- All the Best