SOLUTION: On her camping trip Li spent as much time hiking as she did rafting. She traveled 2.5 mph when she was rafting and 3mph when she was hiking. If she went 3 miles more hiking than sh

Question 280471: On her camping trip Li spent as much time hiking as she did rafting. She traveled 2.5 mph when she was rafting and 3mph when she was hiking. If she went 3 miles more hiking than she did rafting, how far did she hike? Thank you.
Found 2 solutions by josmiceli, scott8148:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let her time for hiking in hours =
and also her time for rafting =
Let distance hiking in miles =
Let distance rafting in miles =
-----------------------------------
given:

---------------------
By substitution:

By substitution again:

And, since

She hiked 18 miles

Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
hiking and rafting times are the same

time equals distance divided by rate

(x - 3) / 2.5 = x / 3

3x - 9 = 2.5x ___ x = 18
RELATED QUESTIONS
On her camping trip, Li spent as much time hiking as she did rafting. She traveled 2.5... (answered by TimothyLamb)
On a trip to the Grand Canyon, Annie did a lot of hiking. On her two day hike, she... (answered by ptaylor)
Cheryl left home on a business trip in her car and averaged 50mph. The next day she... (answered by ankor@dixie-net.com)
Ann traveled to the store and back. On her trip there she traveled 30 mph and on her trip (answered by josgarithmetic)
Julie cashed a paycheck and repaid her brother $10 that she had borrowed from him. She... (answered by math_tutor2020,MathTherapy,ikleyn)
Celina spent 5/9 of her money on 36 cupcakes and 32 muffins. The price of one cupcake was (answered by greenestamps)
On a trip, Debbie spent as much time on the train as she did on the bus. The train... (answered by Paul)
Kaye spent 1/5 of her money in one store. In the next store she spent three times as... (answered by htmentor,greenestamps)
Mary made a 205 mile bike trip in 8 hours. Her speed varied directly as the speed of the... (answered by mananth)