# A plane flies 3360 miles in 6 hour tailwind. Returning against the wing it takes 7 hours. What's the speed of the plane with no wind and find the speed of the wind?

Apr 27, 2018

Plane Speed $= 520 m p h$
Wind Speed $= 40 m p h$

#### Explanation:

Distance = Rate x time

$3360 = {R}_{1} \times 6$ ; ${R}_{1} = 560 m p h$

$3360 = {R}_{2} \times 7$ ; ${R}_{2} = 480 m p h$

Actual Plane Speed $= \frac{560 + 480}{2} = 520 m p h$

Wind Speed $= 560 - 520 = 520 - 480 = 40 m p h$

Apr 27, 2018

Plane speed: $520 \frac{m}{h}$

Wind speed: $40 \frac{m}{h}$

In the picture