Write a system of equations for the problem, and then solve the system.
-Two cars leave a city and head in the same direction. After 6 hours, the faster car is 60 miles ahead of the slower car. The slower car has traveled 312 miles. Find the speeds of the two cars.
A) 52 mph and 62 mph
B) 54 mph and 64 mph
C) 42 mph and 52 mph
D) 100 mph and 110 mph

Question

Quizplus · Accepted Answer

The slower car's speed is 312 miles / 6 hours = 52 mph. The faster car is 60 miles ahead after 6 hours, so it has traveled 372 miles (312 miles + 60 miles), making its speed 372 miles / 6 hours = 62 mph.

Write a System of Equations for the Problem, and Then