Answer,
YES, if their rates stay the same, Nikki will catch up with Mandy
in 1 hour
EXPLANATION
Mandy’s speed is 5 miles per hour
Distance covered = Speed * time
Mandy’s distance covered at time, t = 5t
Therefore, her position at time t = 5t
Nikki’s speed is 6 miles per hour
Distance covered = Speed * time
Nikki’s distance covered at time, t = 6t
Since Nikki started 1 mile behind Mandy, her position at time
t = 6t - 1
If Nikki will catch up with Mandy, then there must be a real
value for t, t which both Nikki and Mandy are at the same position
Testing if there is a real value for t where, 5t = 6t – 1
5t = 6t – 1
6t – 1 = 5t
Add 1 to both sides of the equation
6t – 1+ 1 = 5t + 1
6t = 5t + 1
Subtract 5t from both sides of the equation
6t – 5t = 5t – 5t + 1
t = 1
1 is a real value; this means after they have both skated for
1 hour Nikki will catch up with Mandy.
