SOLUTION: Mr. Zaleva flew his private plane from his office to his companies storage facility, bucking a wind of 20-mph head wind the whole way. He flew home the same day with the same wind

Question 70679: Mr. Zaleva flew his private plane from his office to his companies storage facility, bucking a wind of 20-mph head wind the whole way. He flew home the same day with the same wind at his back. The round trip took 10 hours of flying time. If the plane makes 100 mph in still air, how far is the storage facility from his office.
Time= 10 hours
Rate= there= 100-20=80
and back= 100+20=120
Distance= x
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Mr. Zaleva flew his private plane from his office to his companies storage facility, bucking a wind of 20-mph head wind the whole way. He flew home the same day with the same wind at his back. The round trip took 10 hours of flying time. If the plane makes 100 mph in still air, how far is the storage facility from his office.
-------------
Office to storage DATA:
distance = x miles ; rate = 100+20 = 120 mph ; time = d/r = x/120 hrs.
-----------
return trip DATA:
distance = x miles ; rate = 100-20= 80 mph ; time = d/r = x/80 hrs
--------
EQUATION:
time to + time from = 10 hrs
x/120 + x/80 = 10
[80x+120x]=10*80*100
200x = 10*80*100
x=10*40
x=400 miles (distance the storage facility is from his office)
Cheers,
Stan H.
RELATED QUESTIONS
A pilot flew his single-engine airplane 90 miles with the wind from City A to... (answered by Boreal)

A pilot flew his single-engine airplane 90 miles with the wind from City A to... (answered by ikleyn,josgarithmetic)

A pilot flew his single-engine airplane 60 miles with the wind from City A to... (answered by ikleyn)

A pilot flew his single-engine airplane 60 miles with the wind from City A to... (answered by josgarithmetic,ikleyn)

Tony flew his ultralight plane to the next town against a head wind of 10mph; the trip... (answered by TimothyLamb)

Mitch Levy flew his airplane 500 mi against the wind in the same time it took him to fly... (answered by jorel1380)

An airplane took 2.5 hours to fly 625 miles with the wind. It took 4 hours and 10... (answered by piglet162431)

Kevin flies in his private plane from Los Angeles to San Francisco, a distance of 450... (answered by richwmiller)

Kevin flies(in his private plane) from Los Angeles to San Franciso, a distance of 450... (answered by mananth)