A plane flies from Penthaven to Jackson and then back to Penthaven. When there is no wind, the round trip takes 3 hours and 36 minutes, but when there is a wind blowing from Penthaven to Jackson at 30 miles per hour, the trip takes 3 hours and 45 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.)
How many miles is the distance from Penthaven to Jackson?
s=vt2s=v⋅3.6h3.75h=sv+w+sv−w7.5h=2sv+w+2sv−w=v⋅3.6hv+30miles/h+v⋅3.6hv−30miles/h7.5=3.6vv+30miles/h+3.6vv−30miles/hv=150 miles/h
2s=v⋅3.6hs=v⋅3.6h2=150miles/h⋅1.6hs=240 miles
240 miles is the distance from Penthaven to Jackson.
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