SOLUTION: Two airplanes leave an airport at the same time and travel in opposite directions. One plane travels
75
/kmh
slower than the other. If the two planes are
6892km
apart afte
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Question 905927: Two airplanes leave an airport at the same time and travel in opposite directions. One plane travels
75
/kmh
slower than the other. If the two planes are
6892km
apart after
4
hours, what is the rate of each plane?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the distance in km the faster plane travels in km
= the distance the slower plane travels in km
Let = the speed of the faster plane in km/hr
= the speed of the slower plane in km/hr
----------------------------------------
Equation for faster plane:
(1)
Equation for slower plane:
(2)
--------------------------
Substitute (1) into (2)
(2)
(2)
(2)
(2)
and
-----------------
The speed of the faster plane is 899 km/hr
The speed of the slower plane is 824 km/hr
check:
(2)
(2)
(2)
(2)
and
(1)
(1)
(1)
OK
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