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.Com
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)   (Show Source): You can put this solution on YOUR website!
Gazelle's equation:

Cheetah's equation:

----------------
is the distance in miles that the gazelle
goes when the cheetah catches it
is the distance the cheetah goes
when it catches the gazelle, so the
right expression is
---------------
By substitution:



The cheetah runs for 1/18 of an hour
min

The cheetah runs for 3 min 20 sec




RELATED QUESTIONS

A cheetah is running at 65 mph an a gazelle is running at 47 mph. The cheetah is one mile (answered by stanbon)
A cheetah running 90 feet per second is 100 feet behind a gazelle running 70 feet per... (answered by richwmiller)
A cheetah spots a gazelle 132 meters away. The cheetah starts towards the gazelle at a... (answered by stanbon,richwmiller,mbhaney)
if a cheetah runs 70 mph and runs for five minutes how many miles will it... (answered by ewatrrr)
A cheetah has a top speed of about 70 mph, while a greyhound has a top speed of about 39... (answered by akmb1215,rapaljer)
Going Round-Trip with the World’s Fastest Land Animal According to the Travel Almanac,... (answered by richwmiller,Alan3354,db0312521)
what is the speed of a cheetah who runs 90 meters in half of a... (answered by Alan3354)
what is the speed of a cheetah that runs 70m in... (answered by solver91311)
A cheetah runs at a velocity of 33 m/sec for 40 seconds. What is the cheetah's... (answered by josgarithmetic)