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

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section: Chapter Questions
Problem 84CLR
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Question
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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