SOLUTION: Elisa walked a certain distance at 5mi/h and then jogged twice that distance a 8 mi/h. Her total time walking and jogging was 2 hr and 15 min. How many miles did she walk? I am

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Question 219396: Elisa walked a certain distance at 5mi/h and then jogged twice that distance a 8 mi/h. Her total time walking and jogging was 2 hr and 15 min. How many miles did she walk?
I am trying to use the formula time= distance/ rate
I set d egual to distance walked at 5mi/h and 2d to distance walked at 8mi/hr
d/5+2d/8=135
Im lost at this point ,cant seem to see what im doing wrong
any help would be greatly appreciated

Answer by ptaylor(2198)   (Show Source): You can put this solution on YOUR website!

OK--YOU GAVE IT A GOOD SHOT!!!!! YOU WERE WELL ON YOUR WAY TO A CORRECT SOLUTION EXCEPT YOU CANNOT MIX HOURS AND MINUTES TOGETHER--WE HAVE TO CHOOSE ONE OR THE OTHER: I WILL CHOOSE HOURS:

Distance(d) equals Rate(r) times Time(t) or d=rt; r=d/t and t=d/r
Let d=distance that Elisa walked
Then 2d=distance that Elisa jogged
Amount of time that Elisa walked=d/5
Amount of time that Elisa jogged=2d/8
Now we are told that the above two times add up to 2.25 hr, so:
d/5 + 2d/8=2.25 multiply each term by 40
8d+10d=90 or
18d=90 divide each side by 18
d=5 mi----------------distance Elisa walked
2d=2*5=10 mi--------distance Elisa Jogged
CK
5/5 + 10/8 =2.25
1 + 1.25=2.25
2.25=2.25
Hope this helps---ptaylor

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