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.)

800 miles

Step-by-step explanation:

Given

Round trip for Penthaven to Jackson takes 6 hr and 24 minutes in absence of wind

When Wind blows from Penthaven to Jackson it takes 6 hr and 40 min i.e.

Speed of wind

Suppose x be the distance between Penthaven and Jackson and u be the speed of plane

So initially

When wind is blowing then,

Substitute the value of x in

Thus

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10