Solve.
-Two vehicles leave the same corner at the same time and travel at a right angle to each other. One vehicle travels 2 kilometers an hour faster than the other. If after one hour the vehicles are
10 kilometers apart, find the rate of each vehicle.
A) Slower vehicle: 4 km/hr; faster vehicle: 6 km/hr
B) Slower vehicle: 8 km/hr; faster vehicle: 10 km/hr
C) Slower vehicle: 6 km/hr; faster vehicle: 8 km/hr
D) Slower vehicle: -8 km/hr; faster vehicle: -6 km/hr

Question

Quizplus · Accepted Answer

Using the Pythagorean theorem, let the speed of the slower vehicle be x km/hr. Then the faster vehicle is (x + 2) km/hr. After 1 hour, the distance between them is 10 km, so x^2 + (x + 2)^2 = 10^2. Solving gives x = 6 km/hr and x + 2 = 8 km/hr.

Solve. -Two Vehicles Leave the Same Corner at the Same Time