Question

Two cyclists are competing in a 10 mile time trial. The older cyclist, who rides at a speed of 22 mph, is given a

1 mile head start. The younger cyclist rides at a speed of 25 mph. Let x represent time in hours and y
represent distance in miles. Which of the following system of equations represents this situation?.

A) Oy= 25x, y= 22 + x
B) Oy=25x, y= 22x + 1
C) Oy=25x + 1, y = 22x
D) Oy= 25, y = 22x + 1

Answer 1

The correct system of equations that represents this situation is Oy=25x + 1 and y = 22x + 1.

Step-by-step explanation:

The correct system of equations that represents this situation is Oy = 25x + 1 and y = 22x + 1.

The older cyclist has a head start of 1 mile, so the equation for their distance is y = 22x + 1, where y represents the distance covered by the older cyclist.

The younger cyclist rides at a speed of 25 mph, so the equation for their distance is Oy = 25x + 1, where Oy represents the distance covered by the younger cyclist.