Answered

Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.