SOLUTION: at noon a plane left austin for lax, 2100 kms away at 500 km per hour. an hour later a jet left lax for austin at 700 kms per hour. at what time did they pass each other?

Question 800317: at noon a plane left austin for lax, 2100 kms away at 500 km per hour. an hour later a jet left lax for austin at 700 kms per hour. at what time did they pass each other?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
km is the distance the Austin to LAX
plane travels in the hour before the LAX to Austin takes off
Let = the distance LAX to Austin travels until they meet
----------------
Start a stopwatch when the LAX to Austin plane takes off
Let = the time in hours for them to pass each other
----------------
Equation for Austin to LAX:
(1)
Equation for LAX to Austin:
(2)
----------------
Substitute (2) into (1)
(1)
(1)
(1)
-----------------
It was earlier at noon
when Austin top LAX took off
minutes
12:00 + 2.333 = 2:20 PM when they passed each other
-----------------
check:
(2)
(2)
(2)
and
(1)
(1)
(1)
OK

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