SOLUTION: Mary made a 205 mile bike trip in 8 hours. Her speed varied directly as the speed of the tailwind and inversly as the square root of the degree of the incline. She traveled at 20 m

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Mary made a 205 mile bike trip in 8 hours. Her speed varied directly as the speed of the tailwind and inversly as the square root of the degree of the incline. She traveled at 20 m      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 571891: Mary made a 205 mile bike trip in 8 hours. Her speed varied directly as the speed of the tailwind and inversly as the square root of the degree of the incline. She traveled at 20 mph when the tailwind was 10 mph and the incline was 25 degrees.How fast (to the nearest tenth)would she travel with a 5 mph tailwind on a 36 degree incline?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let t be the tail wind speed
Let theta be the angle
Speed alpha+%28t%2F%28sqrt%28theta%29%29%29
Speed= +%28k%2At%2F%28sqrt%28theta%29%29%29
20=k%2A10%2Fsqrt%2825%29
20=k*10/5
20=2k
/2
k=10
Speed =+%28k%2At%2F%28sqrt%28theta%29%29%29
speed = 10%2A5%2F%28sqrt%2836%29%29
speed= 25%2F3
speed= 8.3 mph