Geometry Problem 1

Princess Star and Superferry started to travel at the same time. The direction of Princess star is northward and eastward for superferry. After two hours, the distance traveled by superferry is twice as that of princess star. Find the distance traveled by each of them if the distance between them is 84 kilometers.


by Pythagorean theorem

let a= x
b= 2x
c=84 km


solving x, we get x=37.566 km
2x= 75.132 km

Princess Star traveled 37.566 km and Superferry traveled 75.132 km