SOLUTION: a cheetah runs 65 mph a gazelle runs 47 mph 1. A cheetah and a gazelle are running at their top speeds. The cheetah is one mile behind the gazelle. Write an expression for th

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: a cheetah runs 65 mph a gazelle runs 47 mph 1. A cheetah and a gazelle are running at their top speeds. The cheetah is one mile behind the gazelle. Write an expression for th      Log On


   

Question 800426: a cheetah runs 65 mph
a gazelle runs 47 mph
1. A cheetah and a gazelle are running at their top speeds. The cheetah is one mile behind the gazelle. Write an expression for the distance the cheetah must run to catch up with the gazelle.
2. Write and solve an equation that represents how long the cheetah will have to run at top speed to catch up with the gazelle.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Gazelle's equation:
+d+=+47t+
Cheetah's equation:
+d+%2B+1+=+65t+
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+d+ is the distance in miles that the gazelle
goes when the cheetah catches it
+d+%2B+1+ is the distance the cheetah goes
when it catches the gazelle, so the
right expression is +65t+
---------------
By substitution:
+47t+%2B+1+=+65t+
+18t+=+1+
+t+=+1%2F18+
The cheetah runs for 1/18 of an hour
+60%2F18+=+3.333+ min
+.333%2A60+=+20+
The cheetah runs for 3 min 20 sec