TANAYRAJ SINGH CHOUHAN
Last Activity: 12 Years ago
Total average speed is simply = Total distance/Total time
Lets say,
D = distance travelled by the car in EACH direction
t1 = time spent on onward trip
t2 = time spent on return trip
Thus, the total distance travelled by the car = D+D= 2D
And, by the formula, Speed = Distance/Time
S1 = D/t1 => t1 = D/S1
S2 = D/t2 => t2 = D/S2
Total average speed = Total Distance/Total time = 2D/(t1+t2) = 2D/(D/S1+D/S2) = 2S1*S2/(S1+S2)
Remember this general formula for a total average speed problems:
Total average speed = 2S1*S2/(S1+S2)
So in the question S1 = 20km/hr
&S2 = 30km/hr
So av. speed = 2 x 20 x 30/20+30
= 24km/hr
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