Mathematics, 19.05.2020 22:18 joho38
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.)
Answers: 2
![\Rightarrow \frac{20}{3}=x[\frac{1}{u+50}+\frac{1}{u-50}]](/tpl/images/0656/6942/59750.png)
![\Rightarrow \frac{20}{3}=x[\frac{2u}{u^2-50^2}]\quad \ldots(ii)](/tpl/images/0656/6942/a2ecf.png)
![\Rightarrow \frac{20}{3}=\frac{2u[3.2u]}{u^2-50^2}](/tpl/images/0656/6942/b4da4.png)
![\Rightarrow 10[u^2-50^2]=9.6u^2](/tpl/images/0656/6942/ee289.png)
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A plane flies from Penthaven to Jackson and then back to Penthaven. When there is no wind, the round...
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