A woman begins jogging at 3pm, running due north at a 6 minute/mile pace. Later she reverses direction and runs due south at a 7 minute/mile pace. If she returns to her starting point at 3:45, find the total number of miles run.

I usually make a chart for Speed, Distance, Time problems such as these.
S D T
A 6min/mile x x/6min/mile t=d/s

B 7min/mile x x/7min/mile

Let x be the distance travelled by the woman.
I figure X is = to both distance A and B since she runs the same distance there and back.
The speeds are given and to find time I divide distance by speed. Here's what I get for an equation:

6x+7x=45

I've tried it several ways so far and I just can't seem to get the right equation. Where am I going wrong!?

 galactus Posts: 2,272, Reputation: 1436 Ultra Member #2 Oct 2, 2008, 06:04 PM
This problem is worded wacky. Be careful of units. It is in minutes per mile instead of miles per minute.

D=rt. If it takes 6 minutes to run a mile, that is 10 mph.

If it takes 7 minutes to run a mile on the way back, then that is about 8.57 mph.

45 minutes is 3/4 hours.

6t=d on the way up.

The distances are the same up and back.

So, the distance back is 7(3/4-t)
 mygod123456789 Posts: 3, Reputation: 10 Junior Member #3 Oct 30, 2010, 11:31 AM

Minutes=mt start running at 3:00pm north
North=n 3:06=1mln
South=s 3:12=2mln
Miles=ml 3:18=3mln
3:24=4mln
reverse to begin south
3:31=1mls
3:38=2mls
3:45=3mls
Total miles ran in 45 minutes=
4mln+3mls=7ml in 45 minutes
 mygod123456789 Posts: 3, Reputation: 10 Junior Member #4 Oct 30, 2010, 11:34 AM
Comment on mygod123456789's post
Quote:
 Originally Posted by mygod123456789 Erison valdez answer Minutes=mt start running at 3:00pm north North=n 3:06=1mln South=s 3:12=2mln Miles=ml 3:18=3mln 3:24=4mln reverse to begin south 3:31=1mls 3:38=2mls 3:45=3mls Total miles ran in 45 minutes= 4mln+3mls=7ml in 45 minutes
nicw neatly understanding

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