Question

Against the wind a plane traveled 1000 miles in 4 hours. On the return trip with the wind the plane took 3 hours and 20 minutes. Find the speed of the plane and the wind.

Answer 1

Speed of plane: 275 miles/hour

Speed of wind: 25 miles/hour

Explanation:

1000/4 = P - W

P - W = 250

P = 250 + W

3 hour 20 mins is 10/3 hours

1000/(10/3) = P + W

P + W = 300

250 + W + W = 300

2W = 50

W = 25

P = 250 + 25

P = 275

Answer 2

plane = 250mi/hr

wind = 5mi/minute

Explanation:

speed = distance/time

plane = 1000miles/4hour

wind = 1000miles/200minutes