A plane flies from Penthaven to Jackson and then back to Penthaven. When there is no wind, the round trip takes 6 hours and 24 minutes, but when there is a wind blowing from Penthaven to Jackson at 50 miles per hour, the trip takes 6 hours and 40 minutes. How many miles is the distance from Penthaven to Jackson? (Assume that the plane flies at a constant speed, and that the turnaround time is negligible.)
Let the distance netween Penthaven and Jackson==D
Let the speed of the plane with no wind==S
The speed of the plane against the wind ==S - 50
S * [6 + 24/60] ==D.....................(1)
[S - 50] * [6 + 40/60]==D............(2), solve for S, D
S==1,250 mph - speed of the plane with no wind.
D==8,000 miles - distance between Penthaven and Jackson.
Let the distance between Penthaven and Jackson==D
Let the speed of the plane with no wind==S
The speed of the plane against the wind==S - 50
The speed of the plane with the wind==S + 50
S * [6 + 24/60] ==2D,
D / [S + 50] + D / [S - 50]==6 + 40/60, solve for S, D
S==250 mph - speed of the plane with no wind
D==800 miles - distance between Penthaven and Jackson
