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

Expert–verified

Hide Steps

Answer

\boxed{t = 0}\)

Steps

Step 1 ：$D_{Tatum} = \frac{1}{3}t$

Step 2 ：$D_{Riley} = \frac{1}{2}t$

Step 3 ：Set $D_{Tatum} = D_{Riley}$

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}\)