Question

10 Two cyclists are traveling along a track in the same direction. Their motions are described

by the linear equations d = 10t and d-8t= 2, where t hours is the time and d miles is the
distance from a point on the track.

b When will the cyclists meet?

Answer 1

They will meet in 1 hour

Explanation:

(1) d = 10t

(2) d - 8t = 2 rearrange this equation to: d = 8t + 2

Set equation (1) equal to equation (2):

10t = 8t + 2

Solve for t:

10t - 8t = 2

2t = 2

t = 2/2 = 1 hr