Two airliners are a part and heading toward each other at different altitudes.
The first plane is travelling north at .
Second plane is traveling south at .
Draw a diagram planes are tarvelling by north and south.
\Let time is both are travels same time.
Where is number of hours untill the planes travelling distance.
Find time .
Distance formula: .
Let time is number of hours untill they travelling distance.
\Make a table:
\Direction of the planes | \![]() | \
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First plane by north | \ ![]() | \
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Second plane by south | \![]() | \
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Solve the equation.
\Distance travelled by first plane plus Distance travelled by second plane equals
(Original equation)
(Simplify)
(Divide each side by
)
(Simplify)
Therefore, the two planes are travelling apart after
.
The two planes are travelling apart after
.