Processing math: 100%
 
+0  
 
+1
17
1
avatar+582 

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.)

 Aug 5, 2024
 #1
avatar+15075 
+1

 How many miles is the distance from Penthaven to Jackson?

 

s=vt2s=v3.6h3.75h=sv+w+svw7.5h=2sv+w+2svw=v3.6hv+30miles/h+v3.6hv30miles/h7.5=3.6vv+30miles/h+3.6vv30miles/hv=150 miles/h

 

2s=v3.6hs=v3.6h2=150miles/h1.6hs=240 miles

 

240 miles is the distance from Penthaven to Jackson.

 laugh !

 Aug 6, 2024

0 Online Users