SOLUTION: On her camping trip, Li spent as much time hiking as she did rafting. She traveled 2.5 miles per hour when she was rafting and 3 miles per hour when she was hiking. If she went 3 m

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: On her camping trip, Li spent as much time hiking as she did rafting. She traveled 2.5 miles per hour when she was rafting and 3 miles per hour when she was hiking. If she went 3 m      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 814438: On her camping trip, Li spent as much time hiking as she did rafting. She traveled 2.5 miles per hour when she was rafting and 3 miles per hour when she was hiking. If she went 3 miles further hiking than rafting, how far did she hike?
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
s = d / t
t = d / s
---
r / 2.5 = h / 3
---
h = r + 3
---
2.5 = 5/2
r / 2.5 = h / 3
r / (5/2) = (r + 3) / 3
(2/5)r = (1/3)r + 1
(2/5)r - (1/3)r = 1
(6/15)r - (5/15)r = 1
(1/15)r = 1
---
r = 15 miles
h = 18 miles
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Convert fractions, decimals, and percents:
https://sooeet.com/math/fraction-decimal-percent.php
---
Calculate and graph the linear regression of any data set:
https://sooeet.com/math/linear-regression.php