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An airplane flies from a town A to a town B when there is no wind and takes a total time T_(0) for a return trip. When there is a wind blowing in a direction from town A to town B, the plane's time for a similar return trip, T_(w), would satisfy |
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Answer» `T_(0)LT T_(W)` `T_(w)= (s)/(v+ v_(w)) + (s)/(v + v_(w)) = s [(2v)/(v^(2) -v_(w)^(2))] = (2s)/(v) [(v^(2))/(v^(2)-v_(w)^(2))]` `T_(w) = T_(0) [(1)/(1-(v_(w)//v)^(2))]` |
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