Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

without any wind an airplane flies at 200 miles per hour. the plane travels 800 miles into the wind and then returns with the wind in in a total time of 8 hours and 20 mins. find the average speed of the wind.

Sagot :

crisforp
800 = ( 200 - s ) × t1 ;
800 = ( 200 + s ) × t2 ;
t1 + t2 = 8h 20 mins.;
where s = the average speed of the wind ;
t1 = the time into the wind ;
t2 = the time with the wind ;
Then, t1 = 800 / ( 200 - s ) and t2 = 800 / ( 200 + s ) ;
800 / ( 200 - s ) + 800 / ( 200 + s ) = 8h and 20 mins. = 500 mins. ;
8 / ( 200 - s ) + 8 / ( 200 + s ) = 5 ;
8( 200 + s ) + 8( 200 - s ) = 5( 200 + s )( 200 - s ) ;
1600 + 8s + 1600 - 8s = 5( 4000 - s^2 ) ;
3200 = 20000 - 5s^2 ;
5s^2 = 17800 ;
s^2 = 17800 ÷ 5 ;
s^2 = 3560 ;
s = [tex] \sqrt{3560} = 59,66 miles per hour [/tex]≈ 60 miles per hour ;


We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.