Tatum and Riley are both running along the same path.
This graph represents their distances from the school, $D$ , in kilometres, and their time spent running, $t$ , in minutes.
Distance from School vs. Time
D
10
5
Tatum
0
5
10
15
20
25
30
Time (min)
After how many minutes of running will Tatum and Riley be the same distance from the school?
3 minutes
6 minutes
20 minutes
30 minutes

Answer

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Answer

\boxed{t = 0}\)

Steps

Step 1 ： $D_{T a t u m} = \frac{1}{3} t$

Step 2 ： $D_{R i l e y} = \frac{1}{2} t$

Step 3 ：Set $D_{T a t u m} = D_{R i l e y}$

Step 4 ： $\frac{1}{3} t = \frac{1}{2} t$

Step 5 ：Subtract $\frac{1}{3} t$ from both sides

Step 6 ： $\frac{1}{6} t = 0$

Step 7 ：Multiply both sides by 6

Step 8 ：\boxed{t = 0}\)