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 150 miles long and they meet in 5 hours. If one biker is twice as fast as the other, find both biking speeds.
A) 10 mph, 20 mph
B) 5 mph, 10 mph
C) 75 mph, 150 mph
D) 8 mph, 16 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. Together, they cover 150 miles in 5 hours, so their combined speed is 150 miles / 5 hours = 30 mph. Thus, x + 2x = 30, leading to 3x = 30, and x = 10 mph for the slower biker and 2x = 20 mph for the faster biker.

Solve the Problem by Writing and Using a System of Linear