SOLUTION: Last weekend, Syanne had to run from her house to the spot where she had left her scooter. Her running pace was 6 mph. After reaching her scooter, she then rode back to her house a

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Question 1108277: Last weekend, Syanne had to run from her house to the spot where she had left her scooter. Her running pace was 6 mph. After reaching her scooter, she then rode back to her house at a rate of 16 mph. Syanne’s entire trip took 2 1/2 hours. How far from her house had Syanne left her scooter? (Round to the nearest tenth of a mile)
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52813) About Me  (Show Source):
You can put this solution on YOUR website!
.
Your "time" equation for the unknown distance d (in miles) is 


d%2F6 + d%2F16 = 5%2F2   hours   (notice 5%2F2 = 21%2F2 !)


To solve it, multiply both sides by 48. You will get


8d + 3d = 5*24,

11d = 120  ====>  d = 120%2F11 = 1010%2F11 miles.


Answer.  The distance under the question is  1010%2F11 miles.


Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
                   SPEED       TIME         DISTANCE
RUNto               6          d%2F6           d

RIDEback           16          d%2F16          d

Total                         2%261%2F2

d%2F6%2Bd%2F16=5%2F2
Solve for d.