Solve.
-Two vehicles leave the same corner at the same time and travel at a right angle to each other. One vehicle travels 4 kilometers an hour faster than the other. If after one hour the vehicles are 20 kilometers apart, find the
Rate of each vehicle.
A)Slower vehicle: -16 km/hr; faster vehicle: -12 km/hr
B)Slower vehicle: 12 km/hr; faster vehicle: 16 km/hr
C)Slower vehicle: 8 km/hr; faster vehicle: 12 km/hr
D)Slower vehicle: 16 km/hr; faster vehicle: 20 km/hr

Question

Quizplus · Accepted Answer

Given that the vehicles travel at a right angle to each other and are 20 kilometers apart after one hour, we can use the Pythagorean theorem to solve for their speeds. Let x be the speed of the slower vehicle, then x + 4 km/hr is the speed of the faster vehicle. The equation is x^2 + (x + 4)^2 = 20^2. Solving this equation gives x = 12 km/hr for the slower vehicle and x + 4 = 16 km/hr for the faster vehicle.

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