Answer:
a) 1/2 hour = 30 minutes after car leaves to catch up with Tania.
b) 27.5 miles will be the catch up distance point.
Explanation:
Step 1
Set the equation to = each other.
ie) your car distance = Tania's running distance
55t = 5(t+5)
55t = 5t + 25
55t - 5t = 25
50t = 25
t = 25 / 50
t = 1/2
t = 1/2 = 1/2 hr = 30 minutes additional catch up time.
Step 2.
Find the distance using = 0.5 hr for additional time and checking Tania's 5.5 hr for Distance as checking multiples to match.
50 * 0.55 = 27.5 miles
5 * 5.5 = 27.5 miles