Solve the problem by writing and using a system of linear equations.
-Two bikers start at opposite ends of a trail and bike toward each other. The trail is 132 miles long and they meet in 4 hours. If one biker is twice as fast as the other, find both biking speeds.
A)9 mph, 18 mph
B)4 mph, 8 mph
C)11 mph, 22 mph
D)66 mph, 132 mph

Question

Quizplus · Accepted Answer

Let the speed of the slower biker be x mph. Then the speed of the faster biker is 2x mph. In 4 hours, the total distance covered by both bikers is 4x + 8x = 12x miles. Since they meet after covering 132 miles, 12x = 132. Solving for x gives x = 11 mph for the slower biker and 2x = 22 mph for the faster biker.

Solve the Problem by Writing and Using a System of Linear