SOLUTION: a woman 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

Question 642877: a woman 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.
how do you set up the equation? I think it is a problem where you have two equations and substitute but I'm not positive.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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
+ = 45
which is
6d + 7d = 45
13d = 45
d = 3.46 mi one way
total miles run 2(3.46) = 6.923 mi

RELATED QUESTIONS
A woman begins jogging at 3:00 P.M., running due north at a 6- minute- mile pace. Later,... (answered by stanbon,ankor@dixie-net.com)

A woman begins jogging at 3:00pm, running due north at a 6-minute-mile pace. Later, she... (answered by scott8148)

You run 10 mile race by running at a pace of 8 minutesbper mile for 1 hour, and after... (answered by ankor@dixie-net.com)

Emily and Ernie are going to job on a quarter-mile track. Emily can jog at a pace of 0... (answered by ankor@dixie-net.com)

Elaine started the season running a 7-minute mile and is reducing her time by 5 secondsa... (answered by stanbon)

If Angela runs at a steady pace of mph for 3 hours and 20 minutes, how far will she... (answered by Alan3354)

A runner runs at a pace of 8.5 minutes per mile. She wants to run 10.0 km. For how long... (answered by ikleyn)

Jim and Derry run a 1.5 mile loop starting at the same time and place. Jim runs an 8.5... (answered by ankor@dixie-net.com)

you run a 10 mile race by running at a pace of 8 minutes per mile for 1 hour, and after... (answered by josgarithmetic)