SOLUTION: A plane flew from Minneapolis to Atlanta, a distance of 900 miles, against a 30 mph-headwind. On the return flight, the 30-mph wind became a tailwind. The plane was in the air f

Question 1090623: A plane flew from Minneapolis to Atlanta, a distance of 900 miles, against a 30 mph-headwind. On the return
flight, the 30-mph wind became a tailwind. The plane was in the air for a total of 5 � hours. What would
the plane�s average speed have been without the wind?�
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
Let s be the speed of the plane in still air. Then:
900/s+30 + 900/s-30=5.5
900(s-30)+900(s+30)=5.5(s�-900)
1800s=5.5s�-4950
5.5s�-1800s-4950=0
11s�-3600s-9900=0
(11s+30)(s-330)=0
s=-30/11 or 330
We get a positive value of 330 for the speed of the plane in still air
☺☺☺☺
RELATED QUESTIONS
An airplane flew for 2 hours with a 30 mph tailwind (wind from behind). The return... (answered by stanbon)

I need some assistance please. Two cities are 1000 miles apart. On the first flight a... (answered by ewatrrr)

Please help! A plane carries enough fuel for 10 hours of flight at an airspeed of 150... (answered by ankor@dixie-net.com)

Zelon Pharmaceuticals maintains a courier plane to transport company executives back and... (answered by mananth)

A plane travels at a speed of 180 mph in still air . Flying with a tailwind the plane is... (answered by josgarithmetic)

An airplane averages 150 mph. If a trip from Atlanta to Charleston takes 2 hours 48... (answered by math_tutor2020,greenestamps,josgarithmetic,ikleyn)

A plane flew 720 miles with a steady 30 mph tailwind. The pilot then returned to the... (answered by TimothyLamb)

Jack flew from Atlanta to San Diego, against a headwind of 52.5 Km/h, in 4 hours. Two... (answered by rwm)

Miami and Pittsburg are 1000 miles apart. A plane flew into a 50mph headwind from miami... (answered by Alan3354)