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Given Question: To Find : Flying against the jet stream a plane Travels 3132 miles in 9 hours. the same plane flying with the jet stream travels 1.5 times the distance it travelled going against the Jetstream. If the plane Travels 435 miles per hour. what is the speed of the jet stream? The Speed of the Jetstream

Given Question: To Find : Flying against the jet stream a plane Travels 3132 miles in 9 hours. the same plane flying with the jet stream travels 1.5 times the distance it travelled going against the Jetstream. If the plane Travels 435 miles per hour. what is the speed of the jet stream? The Speed of the Jetstream

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Given Question: To Find : Solution: Flying against the jet stream a plane Travels 3132 miles in 9 hours. the same plane flying with the jet stream travels 1.5 times the distance it travelled going against the Jetstream. If the plane Travels 435 miles per hour. what is the speed of the jet stream? The Speed of the Jetstream Lets Assume: Sp- Speed of the Plane, Sj = Speed of the Jet Observation from the question. When plane is against the steam Given that Sp = Plane speed is 435 miles/hour We Know that Speed = → Sp-Sj= Speed = Sp-Sj Distance = 3132 miles Distance Time Here speed is effective speed i.e Sp-Sj, Distance =3132 Miles, Time = 9 hours 3132 9 3132 9 = 348 Substituting Sp = 435 → 435 -Sj =348 → Sj = 348-435 ⇒ -Sj = -87 ⇒ Sj=87 Miles/hour In Time 9 hours : The Speed of the Jetstream is 87 Miles/hour
Transcribed Image Text:Given Question: To Find : Solution: Flying against the jet stream a plane Travels 3132 miles in 9 hours. the same plane flying with the jet stream travels 1.5 times the distance it travelled going against the Jetstream. If the plane Travels 435 miles per hour. what is the speed of the jet stream? The Speed of the Jetstream Lets Assume: Sp- Speed of the Plane, Sj = Speed of the Jet Observation from the question. When plane is against the steam Given that Sp = Plane speed is 435 miles/hour We Know that Speed = → Sp-Sj= Speed = Sp-Sj Distance = 3132 miles Distance Time Here speed is effective speed i.e Sp-Sj, Distance =3132 Miles, Time = 9 hours 3132 9 3132 9 = 348 Substituting Sp = 435 → 435 -Sj =348 → Sj = 348-435 ⇒ -Sj = -87 ⇒ Sj=87 Miles/hour In Time 9 hours : The Speed of the Jetstream is 87 Miles/hour
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