SOLUTION: A Piper Saratoga airplane leaves Philadelphia at noon, and flies in a
straight line toward Pittsburgh at a constant 150 mph. One hour later, a
Piper 6X plane leaves Pittsburgh
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Question 833843: A Piper Saratoga airplane leaves Philadelphia at noon, and flies in a
straight line toward Pittsburgh at a constant 150 mph. One hour later, a
Piper 6X plane leaves Pittsburgh and flies in a straight line toward
Philadelphia at a constant 120 mph. The distance between Philadelphia
and Pittsburgh is 310 miles.
a. Calculate the time on a passenger's watch when the two planes pass
each other.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Say the Piper Saratoga =PS
Say the Piper 6X =6X
--------------------
How far does PS fly in 1 hr?
mi
-------------------
The distance between them is now
mi
Let = the distance PS travels
until they pass each other
= distance 6X travels until they
pass each other
Let = the time in hours from when
6X leaves Pittsburg until the pass each other
--------------------
PS equation:
(1)
6X equation:
(2)
----------------------
Substitute (1) into (2)
(2)
(2)
(2) hrs
-----------------------
In minutes, = 35 min 33 sec
This is the time after 1 PM, so the time
on a passenger's watch when they pass is
1:35:33 PM
---------------
Check answer:
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
OK
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