SOLUTION: Please help me set this up. At precisely noon, one plane leaves New York, heading for Orlando, and another leaves Orlando, heading for New York. The distance from New York to Or

Question 889025: Please help me set this up.
At precisely noon, one plane leaves New York, heading for Orlando, and another leaves Orlando, heading for New York. The distance from New York to Orlando is 1300 miles. The plane from New York flies at 450 Mph and the Orlando plane flies at 490 mph. When will the planes be 125 miles apart.
Found 3 solutions by josgarithmetic, josmiceli, richwmiller:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
t the time variable

______________speed________time________distance
NY to O_______450___________t___________450t
O to NY_______490___________t___________490t
Total Trip______________________________1300
Specified Incomplete_________________1300-125

The important detail to watch is that when the planes are 125 miles apart, the sum of their distances traveled is miles. The simpler detail is that the planes approach eachother at miles per hour.

You would have the equation and just solve for t in hours.
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
An easy way to do this is to think of one
of the planes as standing still and the other approaching at
the sum of their speeds
The equation shows the time, , when the
planes are miles apart

One and a quarter hours after noon is 1:15 PM
---------------
check:

and

-------------------

miles
OK

Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
450t+490t=1300-125
940t=1175
t=1.25 hours
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