Brett Favre is traveling from Minneapolis to Green Bay at 40mph. Aaron Rodgers is traveling from Green Bay to Minneapolis at 50mph. If they leave at the same time, how far from Minneapolis will they meet? Green Bay and Minneapolis are 260 miles apart.
I bet Aaron goes 5/9 of the way, and Brett goes 4/9
Aaah...Thank YOu!!!
To find out how far from Minneapolis they will meet, we first need to determine the combined distance they will travel before they meet.
Let's denote the distance from Minneapolis to the meeting point as x miles.
Since Brett Favre is traveling from Minneapolis towards Green Bay, his distance from Minneapolis to the meeting point will be (260 - x) miles.
Similarly, Aaron Rodgers is traveling from Green Bay towards Minneapolis, so his distance from Green Bay to the meeting point will also be (260 - x) miles.
Now, we can use the formula:
Distance = Speed × Time
To find the time it takes for each quarterback to reach the meeting point, we will divide the distance by their respective speeds.
For Brett Favre:
(260 - x) miles = 40 mph × time
Rearranging the equation:
time = (260 - x) miles / 40 mph
For Aaron Rodgers:
(260 - x) miles = 50 mph × time
Rearranging the equation:
time = (260 - x) miles / 50 mph
Since they both leave at the same time, their times will be equal. Therefore, we can set the two equations equal to each other:
(260 - x) miles / 40 mph = (260 - x) miles / 50 mph
Now we can solve for x, which represents the distance they will meet from Minneapolis.
To do this, we will cross-multiply and simplify the equation:
50(260 - x) = 40(260 - x)
13000 - 50x = 10400 - 40x
10x = 2600
x = 260
Therefore, they will meet 260 miles from Minneapolis.