Question

Marleigh and Craig are each riding on the same straight bicycle path. They both start riding at the same time, in the same direction. Marleigh began riding at the start of the path and Craig began from a spot 6 miles ahead of her. The equations below represent their distance along the path in kilometers, y, over time in hours, x.

Marleigh:
y
=
12
x
Craig:
y
=
10
x
+
6
After how many hours do Marleigh and Craig meet on the path? Type your response in the box below.

hours

Answer 1

Set the distances equal: 12x = 10x + 6.
2x = 6, so x = 3.

They meet after 3 hours.