1.A plane travels from Orlando to Denver and back again. On the five-hour trip from Orlando to Denver, the plane has a tailwind of 40 miles per hour. On the return trip from Denver to Orlando, the plane faces a headwind of 40 miles per hour. This trip takes six hours. What is the speed of the airplane in still air? (2 points)

Question

1.A plane travels from Orlando to Denver and back again. On the five-hour trip from Orlando to Denver, the plane has a tailwind of 40 miles per hour.  On the return trip from Denver to Orlando, the plane faces a headwind of 40 miles per hour. This trip takes six hours. What is the speed of the airplane in still air?  (2 points)

valpey · Answer

Let d be the distance from Orlando to Denver. Let a be the speed of the airplane.
$$\frac{d}{5hours}=a+40mph$$and 
$$\frac{d}{6hours}=a-40mph$$

valpey · Answer

Now you can multiply each equation by its travel time and set them equal to each other.

anonymous · Answer

v + 40 = s/5
 v - 40 = s/6
 -----------------
 (v+40)*5 = s
 (v-40)*6 = s
 ----------------
 (v+40)*5 = (v-40)*6
 5v+200 = 6v-240
 v=440 m/h

anonymous · Answer

Is that correct ?

valpey · Answer

Looks good to me.

anonymous · Answer

Ok thank you