SOLUTION: An airplane travels 1260 km in the same time a car travels 420 km. If the rate of the car is 120 kph less than the rate of the airplane, find the rate of each?

Question 928403: An airplane travels 1260 km in the same time a car travels 420 km. If the rate of the car is 120 kph less than the rate of the airplane, find the rate of each?

Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = speed of airplane
y = speed of car
y = x - 120
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s = d/t
t = d/s
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airplane:
t = 1260/x
---
car:
t = 420/y
---
1260/x = 420/y
1260y = 420x
---
put the system of linear equations into standard form
---
y = x - 120
1260y = 420x
---
x - y = 120
420x - 1260y = 0
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copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = speed of airplane = 180 kph
y = speed of car = 60 kph
---
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Solve systems of linear equations up to 6-equations 6-variables:
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