SOLUTION: The speed of a sparrow is x mph in still air. When the wind is blowing at 1 mph, the sparrow takes 5 hours to fly 12 miles to its nest and 12 hours to return again. He flies out di

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: The speed of a sparrow is x mph in still air. When the wind is blowing at 1 mph, the sparrow takes 5 hours to fly 12 miles to its nest and 12 hours to return again. He flies out di      Log On


   

Question 322863: The speed of a sparrow is x mph in still air. When the wind is blowing at 1 mph, the sparrow takes 5 hours to fly 12 miles to its nest and 12 hours to return again. He flies out directly into the wind and returns with the wind behind him. FInd his speed in still air.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
The speed of a sparrow is x mph in still air.
When the wind is blowing at 1 mph,
speed will be x-1 mph against the wind
time taken 12 hours
..
Distance traveled both ways is the same
Distance = rate*time
12*(x-1) = 12
with wind
5*(x+1)=12
..
12(x-1)=5*(x+1)
12x-12=5x+5
12x-5x=12+5
7x=17
x= 17/7 mph in still air

the sparrow takes 5 hours to fly 12 miles to its nest and 12 hours to return again. He flies out directly into the wind and returns with the wind behind him. FInd his speed in still air.