Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Flying against the wind, an airplane travels 4620 kilometers in 7 hours. Flying with the wind, the same plane travels 8640 kilometers in 8 hours. What is the rate of the plane in still air and what is the rate of the wind?

Sagot :

The rate of the plane in still air is 870km/h and the rate of the wind 210km/h.

What is speed?

Speed has the dimensions of distance divided by time.

Let Speed of airplane be x km/h and Speed of Wind be y km/h

Speed direction of wind (x+y)

Speed in opposition of wind (x-y)

Now, using speed x time= distance

7( x-y)=4620

(x-y)=4620/7

=660------------------(1)

Similarly,

8(x+y)=8640

(x+y) =8640/8=1080-----------------------(2)

Adding (1) and (2)

2x=1740

x=870 km/h

Subtracting (1) from (2)

2y=420

=>y=210 km/h

So rate of airplane =870km/h

rate of wind=210km/h

Learn more about this concept here:

https://brainly.com/question/16970943

#SPJ1

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.