SOLUTION: Two cars left at 0800 from the same point, one travelling east at 50km/h and the other travelling south at 60km/h. When they are 300km apart what is the distance both travelled fro

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Question 811209: Two cars left at 0800 from the same point, one travelling east at 50km/h and the other travelling south at 60km/h. When they are 300km apart what is the distance both travelled from the time they started?
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
A diagram would probably help.
Let h = time in hours when the cars are 300 km. apart. The starting point location is the right angle vertex of a triangle.

%2850h%29%5E2%2B%2860h%29%5E2=300%5E2
h%5E2%282500%2B3600%29=300%5E2
h%5E2=%28300%5E2%29%2F6100
h=300%2F%2810%2Asqrt%2861%29%29
h=30%2F%28sqrt%2861%29%29
h=3.84 as a simple decimal approximation, in hours.

The eastward car traveled 50*3.84=192 km.
The southward car traveled 230 km.