An airplane flew 3 hours with a 60 mph head wind. The return trip with a tail wind of the same speed took 2 hours. Find the speed of the plane in still air.

Question

anonymous · Answer

velocity (in MPH) * time (in hours) = distance (in miles)

The distance is the same, it's EQUAL.  Hint hint!
The plane also is traveling at the same airspeed both ways

Therefore:
$$(velocity)(time)=(v-60)(3)=(v+60)(2)$$

anonymous · Answer

Thank You =]

anonymous · Answer

$$3 (v-60) = 2 (v+60)$$
Expand out terms on both sides:
$$3 v-180 = 2 v+120$$
Add (180-2 v) to both sides:
$$v = 300$$
That's 300MPH airspeed, the distance is 720 miles I believe.  Check me :-)