SOLUTION: An airplane flew for 6 hrs w/ a 22-km/h tail wind.THe return flight against the same wind took 8 hrs.Find the speed of the plane in still air.
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Question 123556This question is from textbook prentice hall mathematics
: An airplane flew for 6 hrs w/ a 22-km/h tail wind.THe return flight against the same wind took 8 hrs.Find the speed of the plane in still air.
This question is from textbook prentice hall mathematics
Answer by rajagopalan(174) (Show Source): You can put this solution on YOUR website!
Given:
flew for 6 hrs w/ a 22-km/h tail wind.
THe return flight took 8 hrs.
Let the speed of the plane in still air=x
onward journey speed=x+22, onward time=6 h, onward ditance=6(x+22)
return journey speed=x-22, Return time=8 h, return ditance=8(x-22)
equate both distances:
6(x+22)=8(x-22)
6x+132=8x-176
6x-8x=-176-132
-2x=-308
x=-308/-2=154
Speed in still air = 154 kmph
verify
onward dist=speedxtime=6(x+22)=6(154+22)=176x6=1056
Return dist=speedxtime=8(x-22)=8(154-22)=132x8=1056
okay
cheers
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