SOLUTION: Jose and Eduardo are going to run a race. Jose is willing to give Eduardo a 3 mile head start. Jose runs at a rate of 7.5 miles per hour. Eduardo's rate is 1.5 miles per hour SLOWE

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Question 1073991: Jose and Eduardo are going to run a race. Jose is willing to give Eduardo a 3 mile head start. Jose runs at a rate of 7.5 miles per hour. Eduardo's rate is 1.5 miles per hour SLOWER that Jose.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
Eduardo's rate is 6 miles per hour. If he had the 3 mile head start, then for this distance he had run , half an hour.


d is the distance they both go when Jose catches up with Eduardo.
t is how long it takes for Jose to reach Eduardo.

              SPEED     TIME      DISTANCE
JOSE           7.5        t        d
EDUARDO        6         t+1/2     d


If solve for time only, t for how long to catchup,



-



-----catching-up time 2 hours


RACING DISTANCE d:
-

or



-
--------- 15 mile race

Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.
Jose and Eduardo are going to run a race. Jose is willing to give Eduardo a 3 mile head start.
Jose runs at a rate of 7.5 miles per hour. Eduardo's rate is 1.5 miles per hour SLOWER that Jose.
~~~~~~~~~~~~~~~~~~~~~~~~~

Your equation is this:

7.5*t = 3 + 6*t

The solution is

7.5t - 6t = 3,

1.5t = 3  --->  t =  = 2 hours.

Answer.  Jose catches up Eduardo in 2 hours.


Writing by "josgarithmetic" (including his equation) is WRONG, NONSENSICAL and does not correspond to the condition..


It would be good (much better) if you put a question in your post.



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