SOLUTION: I need to see the step by step solution to solving this and i need this to be solved by graphing so if a graph could be made and shown to me I'd love it!
Eric can ride 162 miles
Algebra.Com
Question 838436: I need to see the step by step solution to solving this and i need this to be solved by graphing so if a graph could be made and shown to me I'd love it!
Eric can ride 162 miles on flat ground in 6 hours with a good breeze at his back. It takes him 10 hours to go 90 miles with the same breeze working against him. How fast is Eric going on a bike and how fast is the wind speed?
please tell me how to setup the graph and solve from the graph
THANKS
Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Have you ever ridden a bike?
What's the relation between windspeed and groundspeed?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Eric's speed on a bike with no wind in mi/hr
Let = the speed of the wind in mi/hr
------------------------------------
Equation riding with the wind:
(1)
Equation riding against the wind:
(2)
-----------------------
(1)
(1)
(1)
and
(2)
(2)
--------------------
Add the equations:
(2)
(1)
and
(2)
(2)
(2)
-------------------
Riding with the wind, Eric is going mi/hr
Riding against the wind, Eric is going mi/hr
The wind speed is mi/hr
--------------------------------
Here's a plot of (1) and (2):
is on the horizontal axis
is on the vertical axis
check answers:
(1)
(1)
(1)
(1)
-------------------------
(2)
(2)
(2)
(2)
OK
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