Correct option is C
Given:
Time taken by man = 15 days
Time taken by father = 20 days
Time taken by son = 25 days
Formula Used:
Total Work = L.C.M. of time taken
Efficiency =
Solution:
Find the total work by taking the L.C.M. of 15, 20, and 25.
Total Work = 300 units
Calculate the efficiency of each person:
Man's efficiency = = 20 units/day
Father's efficiency = = 15 units/day
Son's efficiency = = 12 units/day
Total efficiency when working together:
Total Efficiency = 20 + 15 + 12 = 47 units/day
Time taken together =
Time taken =
Time taken = 6.38 days
This value is approximately 6.4 days.
Final Answer
So the correct answer is (c)