SOLUTION: A Boeing 747 flies the 3000-mile distance between Los Angeles & New York with a tailwind in 5 hours. The return trip against a headwind takes 6 hours. Assuming that the plane spe

Question 752307: A Boeing 747 flies the 3000-mile distance between Los Angeles & New York with a
tailwind in 5 hours. The return trip against a headwind takes 6 hours. Assuming that the
plane speed and wind speed are constant, find the speed of the plane and the speed of the
wind.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the wind speed in mi/hr
Let = the speed of the plane in mi/hr
= speed of the plane flying with the wind
= speed of the plane flying against the wind
----------------------
Flying with the wind:
(1)
Flying against the wind:
(2)
-----------------------
Add the equations
(1)
(2)

and
(1)
(1)
(1)
The speed of the plane is 550 mi/hr
The speed of the wind is 50 mi/hr
check:
(1)
(1)
(1)
and
(2)
(2)
(2)
OK

RELATED QUESTIONS
A boeing 747 flies the 3000 mile distance from Los Angeles to NEw York, with the... (answered by mananth,Alan3354)

A boeing 747 flies the 3000 mile distance from Los Angeles to New York, with a tail wind, (answered by mananth)

a 747 airplane travels x miles. It uses 5 gallons of fuel per mile. Find the amount of... (answered by FrankieVlad)

A plane flies from Atlanta to Los Angeles against the wind in 5 hours. The return trip... (answered by richwmiller)

An airplane flies between Boston and Cleveland. During a round-trip flight, the plane... (answered by josmiceli)

Please help me with this problem: A small airplane flies 810 miles from Los Angeles to... (answered by josmiceli,richwmiller)

A small plane flies 810 miles from Los Angeles to Portland, Or. with an average speed of... (answered by josgarithmetic,MathTherapy)

Plane A leaves Los Angeles for New York at 500 mph, and at the same time plane B leaves... (answered by richwmiller)

the time in new york city is 3 hours ahead of the time in los angeles, and the distance... (answered by ankor@dixie-net.com)