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You are to travel from point A to point B and return. On the trip from A to B, you travel at thirty miles per hour. How fast would you have to travel from B to A in order to average sixty miles per hour for the round trip?
Think about this, assume it's 30 mi one way:
To average 60 mph, you have cover 60 mi in 1 hr which is the round trip distance
You have used up 1 hr just to cover 30 mi, therefore it is impossible
Look what happens when you solve this in the conventional way
Let s = speed required to accomplish this
write a time equation
every term has d, divide thru by d and you have
Multiply by 60 s to get rid of the denominators
2s + 60 = 2s; obviously, this is not possible