SOLUTION: An airplane flew with the wind for 5 hours. The return trip against the wind took 6 hours. If the wind was blowing at 25mph. What was the rate of the plane in still the air?

Question 227725: An airplane flew with the wind for 5 hours. The return trip against the wind took 6 hours. If the wind was blowing at 25mph. What was the rate of the plane in still the air?
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
An airplane flew with the wind for 5 hours. The return trip against the wind took 6 hours. If the wind was blowing at 25mph. What was the rate of the plane in still the air?

Step 1. distance= speed * time

Step 2. Let x+25 be the airplane speed with the wind.

Step 3. Let x-25 be the airplane speed against the wind.

Step 4. Let 5(x+25) be the distance traveled with the wind after 5 hours.

Step 5. Let 6(x-25) be the distance traveled again the wind after 6 hours.

Step 6. Equate Steps 4 and 5 since the distances are the same.

Add 150-5x to both sides of the equation

Check if distances are equal: (275+25)5=(275-25)6 which is a true statement.

Step 7. ANSWER: The speed of the plane is 275 miles per hour.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV

RELATED QUESTIONS
An airplane flew with the wind for 5 hours. the return trip against the wind took 6... (answered by lwsshak3)

an airplane flew with the wind for 2.5 hours and returned the same distance against the... (answered by Alan3354)

An airplane flew with the wind for 3 hours and returned the same distance against the... (answered by ewatrrr)

a private airplane flew 420 mi in 3 hours with the wind. The return trip against the... (answered by Alan3354)

An airplane flew 4 hours with a 25 mph tail wind. The return trip against the same wind... (answered by josmiceli)

An airplane flew 4 hours with a 25 mph tail wind. The return trip against the same wind... (answered by ankor@dixie-net.com)

An airplane flew for 4 hours against a head wind of 40 km/h. On the return flight the... (answered by tutorvolunteer)

an airplane flew for 5 hours with a tail wind of 25 km/h. the return flight against the (answered by checkley77)

An airplane flew for 4 hours with a 15mph tail wind. The return flight against the same... (answered by mananth)