SOLUTION: goofy left his home by car, traveling at a rate of 30 mph. two hours later his brother pluto left his home traveling on the same road at a rate of 45 mph. in how many hours did plu

Algebra.Com
Question 551951: goofy left his home by car, traveling at a rate of 30 mph. two hours later his brother pluto left his home traveling on the same road at a rate of 45 mph. in how many hours did pluto overtake goofy?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Goofy had a head start of

mi
Start a stopwatch when Pluto leaves
Let = distance that Pluto travels until they meet
Let = time on stopwatch when Pluto
overtakes Goofy
Goofy's equation:
(1)
Pluto's equation:
(2)
---------------
Substitute (2) into (1)
(1)
(1)
(1) hrs
Pluto overtook goofy in 4 hrs
check:
(2)
(2)
(2) mi
and
(1)
(1)
(1)
(1) mi
OK

RELATED QUESTIONS

Raymond left his home by car, traveling on a certain road at the rate of 30mph. Two hours (answered by mananth)
Ted left his home by car traveling at 40 mph. His father left two hours later traveling... (answered by ankor@dixie-net.com)
Ted left his home by car traveling at 40 mph. His father left two hours later traveling... (answered by ankor@dixie-net.com)
torque left home on his bicycle at 9:00 am traveling at an average rate of 12 mph. at... (answered by Alan3354)
Torque left home on his bicycle at 9:00 A.M., traveling at an average rate of 12 mph. At... (answered by nerdybill,ankor@dixie-net.com)
ted left his home traveling at 40mph. His father left 2 hours later traveling in the same (answered by ikleyn)
justin left home at 8AM riding his bike at 6 mph. His brother, Mike, left 2 hours later... (answered by richwmiller)
Juan left home on his bicycle at 10:00 a.m. traveling at 21... (answered by richwmiller)
randy left town on his bicycle traveling at an average speed of 18 mph. Three hours... (answered by josgarithmetic)