SOLUTION: An airplane flies between Boston and Cleveland. During a round-trip flight, the plane flew a distance of 630 mi each way. The trip with a tailwind took 3 hours. The return trip aga

Question 988491: An airplane flies between Boston and Cleveland. During a round-trip flight, the plane flew a distance of 630 mi each way. The trip with a tailwind took 3 hours. The return trip agains the wind took 3.5 hours. Find the speed of the wind. Find the speed of the plane in still air

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = windspeed in mi/hr
Let = the speed of the plane in still air
= plane's speed going with the wind
= plane's speed going against the wind
---------------------------------------------
(1)
(2)
----------------------------
(1)
(2) ( now add equations )
--------------------

and
(1)
(1)
(1)
-----------------
The windspeed is 15 mi/hr
The speed of th plane in still air is 195 mi/hr
------------------
check:
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
OK
RELATED QUESTIONS
an airplane flies from its home airport to a city 510 mi away and back. the total flying... (answered by ikleyn)

An airplane flies 500 mi/h in still air. Flying with the jet stream, the plane travels... (answered by stanbon)

an airplane has just enough fuel for a 6 hour flight. How far can it fly, round trip, in... (answered by josmiceli,Alan3354)

A couple took a small airplane for a flight to the wine country for a romantic dinner and (answered by greenestamps)

two planes leave from Atlanta Georgia. one makes a 5.5 hr flight to Seattle, Washington... (answered by josmiceli)

An airplane flying into a headwind travels the 2080-mile flying distance between two... (answered by Alan3354,ikleyn,josgarithmetic)

Dominique flew her light plane from Buffalo to Cleveland at an land one half the... (answered by KMST)

An airplane encountered a head wind during a flight between Joppetown and Jawsburgh which (answered by josmiceli,addingup,MathTherapy)

An airplane encountered a head wind during a flight between Joppetown and Jawsburgh which (answered by Boreal)