A man distance cover three v1 v2 and v3
Find the average of speed
Answers
Case 1: When a Body covers distance lets say ‘D’ with speed ‘v1’ time taken can calculated by the following formula.
t1 = D/v1 , ……(1)
Case 2: When a Body covers distance lets say ‘D’ with speed ‘v2’ time taken can calculated by the following formula.
t2 = D/v2 , ……(2)
Case 3: When a Body covers distance lets say ‘D’ with speed ‘v3’ time taken can calculated by the following formula.
t3 = D/v3 , ……(3)
Adding up all the three statements we can get the total time taken by the body which comes out to be
t1 + t2 + t3 ;
or D/v1 + D/v2 + D/v3 ……..(4)
And the total distance covered by the body can be easily calculated as 3D.
So Applying the formula of Average velocity or speed,
Average velocity = Total distance covered/ Total Time Taken the body
Average velocity = 3D / (D/v1 + D/v2 + D/v3)
Solving out the equation results comes out to be:
(3 * v1 * v2 * v3) / (v1v2 + v2v3 + v3v1)