SOLUTION: Ernesto leaves Miami and travels toward Orlando at 60 mi/hr. An hour later Dick leaves Orlando and travels toward Miami at 50 mi/hr. If the two cities are 280 miles apart, how man

Algebra ->  Expressions-with-variables -> SOLUTION: Ernesto leaves Miami and travels toward Orlando at 60 mi/hr. An hour later Dick leaves Orlando and travels toward Miami at 50 mi/hr. If the two cities are 280 miles apart, how man      Log On


   



Question 127779: Ernesto leaves Miami and travels toward Orlando at 60 mi/hr. An hour later Dick leaves Orlando and travels toward Miami at 50 mi/hr. If the two cities are 280 miles apart, how many hours will it take for Ernesto to meet Dick?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The way I do this is to put a stopwatch on them
both at the moment Dick takes off and Ernesto
is already flying.
When Dick takes off, Ernesto has already gone
(distance = rate x time) 60%2A1+=+60miles
Now start the stopwatch and let t=
the time elapsed until they meet. Note that
they are now 280+-+60+=+220miles apart
50t+%2B+60t+=+280+-+60
110t+=+220
t+=+2hrs
Ernesto has been in the air for 1 hour, so
1+%2B+2+=+3 and
It takes him 3 hours to meet Dick