Solution:
Given:
The working efficiency of Ram, Shyam and Shiva is 4 : 2 : 1.
Shiva alone can complete the work in 100 days.
Ram and Shyam work together for 16 days and leave.
Formula used:
Work = Efficiency × Time
Calculation:
The working efficiency of Ram = 4k
The working efficiency of Shyam = 2k
The working efficiency of Shiva = k
Let k = 1,
The working efficiency of Ram = 4 units per day
The working efficiency of Shyam = 2 units per day
The working efficiency of Shiva = 1 unit per day
The total amount of work or the amount of work done by Shiva in 100 days = 1 × 100 = 100 units
Now,
The combined efficiency for Ram and Shyam = 4 + 2 = 6 units a day
The amount of work done by Ram and Shyam in 16 days = 6 × 16 = 96 units
The remaining amount of work = 100 - 96 = 4 units
Now,
The time is taken by Shiva to complete 4 units of work = 4/1
= 4 days
∴ The time is taken by Shiva to complete 4 units of work is 4 days.
