- Jan 9, 2001
- 7,572
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Alright, I understand the bulk of what's going on here, but there's a few steps I'm not so clear on. See if you can help me out...
Two runners are running toward each other with a flagpole between them. Runner A starts initially 4 miles west of the flagpole running 6 m/h east; Runner B initially starts 3 miles east of the flagpole, running 5 m/h west. How far from the flagpole do they meet?
Here's the work I got from the board:
A--> d = (6.0m/h) * t
B--> d = (5.0m/h) * t
total distance = 7 miles
da= 7-db
da= (6.0m/h) * (db/5.0)
7-db = 6 m/h * (db/(5 m/hr)
7-db = 1.2db
7=2.2db
3.18=db
da=7-3.18=3.82
db-(distance from flag) = 3.18 - 3m = 0.18 miles
Ok, I don't understand this step:
da= (6.0m/h) * (db/5.0)
Where did that come from? Why do you multiply runner A's velocity by runner b's distance over velocity?
From there on out, I'm pretty sure I get it all. I just don't understand where that step came into play. Any help?
Thanks!
Two runners are running toward each other with a flagpole between them. Runner A starts initially 4 miles west of the flagpole running 6 m/h east; Runner B initially starts 3 miles east of the flagpole, running 5 m/h west. How far from the flagpole do they meet?
Here's the work I got from the board:
A--> d = (6.0m/h) * t
B--> d = (5.0m/h) * t
total distance = 7 miles
da= 7-db
da= (6.0m/h) * (db/5.0)
7-db = 6 m/h * (db/(5 m/hr)
7-db = 1.2db
7=2.2db
3.18=db
da=7-3.18=3.82
db-(distance from flag) = 3.18 - 3m = 0.18 miles
Ok, I don't understand this step:
da= (6.0m/h) * (db/5.0)
Where did that come from? Why do you multiply runner A's velocity by runner b's distance over velocity?
From there on out, I'm pretty sure I get it all. I just don't understand where that step came into play. Any help?
Thanks!
