Problema Solution
A hyena spots a giraffe .5 miles away and begins running toward it. The giraffe starts running away from the hyena just as the hyena begins running toward it. A hyena can run at a speed of 40 mph and a giraffe can run at 32 mph. How long will it take for the hyena to overtake the giraffe?
Answer provided by our tutors
let
v1 = 40 mph the speed of the hyena
v2 = 32 mph the speed of the giraffe
t = the time needed for the hyena to overtake the giraffe
the distance that the hyena will run is: v1*t = 40t
the distance that the giraffe will run is: v2*t = 32t
the hyena will run 0.5 mi more than the giraffe thus we can write:
32t + 0.5 = 40t
by solving we find:
t = 1/16 hr
t = 60/16 min
t = 3.75 min
t = 3 min 0.75*60 sec
t = 3 min 45 sec
click here to see the step by step solution of the equation:
the hyena will need 3 minutes and 45 seconds to overtake the giraffe.