Question 642877
begins jogging at 3 pm at a 6 minute mile pace.
 later she reverses direction and runs at a 7 minute mile pace.
 if she returns to her starting point at 3:45.
 find the total number of miles run.
:
From the given information we know the entire run took 45 min 
Actually a pretty simple equation
:
note that: A 6 min mile is a speed of 1/6 mi/min, a 7 min mile is 1/7 mi/min
:
let d = one-way distance
write a time equation, time = dist/speed
{{{d/(1/6)}}} + {{{d/(1/7)}}} = 45
which is
6d + 7d = 45
13d = 45
d = 3.46 mi one way
total miles run 2(3.46) = 6.923 mi