SOLUTION: Get a jet leave an airport traveling at a steady rate of 600 km/h another jet leave for airport at three fourths of an hour later traveling at 800 km/h in the same direction how lo

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Question 583659: Get a jet leave an airport traveling at a steady rate of 600 km/h another jet leave for airport at three fourths of an hour later traveling at 800 km/h in the same direction how long will it take for the second Jets overtake the first
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
How much of a head start does the 1st jet have?
+d%5B1%5D+=+600%2A.75+
+d%5B1%5D+=+450+ km head start
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Now start a stopwatch when the 2nd plane leaves
They will both fly for the same amount of time
until they meet
Let +t+ = the time in hrs they both have to fly
Let +d+ = the distance in km 2nd plane has to fly
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Equation for 1st plane:
+d+-+450+=+600t+
Equation for 2nd plane:
+d+=+800t+
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By substitution:
+800t+-+450+=+600t+
+200t+=+450+
+t+=+2.25+ hrs
It will take the 2nd jet 2 hrs and 15 min to overtake the 1st
check answer:
+d+=+800t+
+d+=+800%2A2.25+
+d+=+1800+ km
and
+d+-+450+=+600t+
+d+-+450+=+600%2A2.25+
+d+-+450+=+1350+
+d+=+1800+
OK