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Two joggers, one averaging 7 mph and one averaging 5 mph, start from a designated initial point. The slower jogger arrives at the end of the run 45 minutes after the other jogger. Find fhe distance of the run.

Sagot :

jewels33100
22.5 miles long 


basically all you have to do is count out the factors until you reach two number of 45 apart 

                                        DIFFERENCE 
7MPH      5MPH          BETWEEN THEM

7                5                          2
14             10                         4
21             15                         6
28             20                         8
35             25                        10
42             30                        12
49             35                        14
56             40                        16
63             45                        18
70             50                         20
77             55                         22
84             60                         24
91             65                         26
98             70                         28
105           75                         30
112           80                         32
119           85                         34
126           90                         36 
133           95                         38
140           100                       40
147           105                       42
154           110                       44
161           115                       46 



considering the differences are even it means it has to fall in the middle. if you count from the top it is 22.5 numbers down giving you the number of miles.
I'm sure there is an easier way but this is how i would solve it. :)
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