Thursday, May 9, 2013

Two vehicles leave the same corner at the same time and travel at a right angle to each other. One vehicle travels 3 km an hour faster than the other. If after one hour the vehicles are 15 km apart, find the rate of each vehicle.

x%5E2%2B%28x%2B3%29%5E2=15%5E2 
x%5E2%2Bx%5E2%2B6x%2B9=225 
2x%5E2%2B6x-216 
divide by 2... 
x%5E2%2B3x-108 
%28x-9%29%28x%2B12%29=0 

so the slower is 9 km an hour 
and the faster is 12 km per hour
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