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Corinne and Aretha are having a 26-mile race. Corinne gave Aretha a head start by letting her begin 3.5 miles in front of the start line. Their distances past the start line as the race has progressed can be represented by linear functions and are shown in the table and graph below. How many minutes after the start of the race will Corinne catch Aretha?

Verified Answer :

TeacupKisses

The answer is 140 minutes

abiolataiwo2015

The number of   minutes after the start of the race  is $140 minutes

First step is to determine the speed based on the information given in the table

Speed=2.5-1.25/20-10

Speed=1.25/10

Speed=0.125 miles per minutes

Second step is to determine the speed based on the information given in the graph

Speed =5.5-4.5/20-10

Speed =1.5/10

Speed =0.1 miles per minutes

Now let determine number of  minutes after the start of the race

Let x represent the number of  minutes

0.125x= 3.5 + 0.1x

0.025x = 3.5

Divide both side

x= 3.5 / 0.025

x= 140 minutes

Inconclusion The number of   minutes after the start of the race is $140 minutes

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