Question 1068895
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Two​ joggers, one averaging 5 mph and one averaging 4 ​mph, start from a designated initial point. 
The slower jogger arrives at the end of the run 35 minutes after the other jogger. Find the distance of the run.
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<pre>
{{{D/4 - D/5}}} = {{{35/60}}}    (the difference of jogging times is 35 minutes)

Multiply both sides by 60. You will get

15D - 12D = 35,

3D = 35  --->  D = {{{35/3}}} = {{{11}}}{{{2/3}}} mile.
</pre>

<U>Answer</U>. The distance is {{{11}}}{{{2/3}}} miles.