SOLUTION: A hyena spots a giraffe 1.4 miles away and begins to run toward it the giraffe starts running away from the hyena just as a hyena begins running toward it. The hyena can run a sp

Algebra ->  Proportions  -> Lessons -> SOLUTION: A hyena spots a giraffe 1.4 miles away and begins to run toward it the giraffe starts running away from the hyena just as a hyena begins running toward it. The hyena can run a sp      Log On


   

Question 1123780: A hyena spots a giraffe 1.4 miles away and begins to run toward it the giraffe
starts running away from the hyena just as a hyena begins running toward it. The
hyena can run a speed of 40 mph and a giraffe can run at 32 mph. How long, in
minutes, will it take for the hyena to overtake the giraffe?
Found 2 solutions by ankor@dixie-net.com, Edwin McCravy:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A hyena spots a giraffe 1.4 miles away and begins to run toward it the giraffe starts running away from the hyena just as a hyena begins running toward it.
The hyena can run a speed of 40 mph and a giraffe can run at 32 mph how long, in minutes, will it take for the hyena to overtake the giraffe?
:
let t = time for h to overtake g in hrs
Write a distance equation, dist = speed * time
the h runs 1.4 mi further than the g
40t = 32t + 1.4
40t - 32t = 1.4
8t = 1.4
t = 1.4/8
t = .175 hrs, convert to min: .175(60) = 10.5 min

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
Here is another way to look at APPROACH or SEPARATION problems:

RATE OF APPROACH (subtract the rates)
RATE OF SEPARATION (add the rates)

This is an APPROACH problem, so we subtract the rates 

40mph - 32mph = 8 mph

   DISTANCE = RATE∙TIME



 
 
Edwin