Can you please help me?

Question

An airplane whose seed in still air is 760 kph can travel 2000 km flying with a tailwind, in the same amount of time that it takes to fly 1,800 km flying witha headwind. What is the speed of the wind? How long it will take the plane to travel the given distances?

 

I need the answer ASAP. Thank you!

Answer 1

These problems are easy if you let p = plane's speed (constant) in still air and let w = wind speed.

We then present the facts in a D R T chart, where distance D = rate (R) multiplied by time T:

with tailwind:   2000  p+w   T

into tailwind:    1800  p-w    T.

 

T = 2000/(p+w)

T = 1800/(p-w)

 

These two T values are the same, and p = 760 km.

Therefore 2000/(760+w) = 1800/(760-w).  Solve this equation; begin by cross-multiplying.

 

I leave you to do (1) Study this approach, and if you agree, (2) solve for w.

 

(I believe the student can do some heavy lifting, after receiving good guidance.)