![d=160-25t](https://img.qammunity.org/2020/formulas/mathematics/high-school/nwbwexaa9xhheemg6abfqjzg6pnauu0bvj.png)
Explanation:
Let
be the distance between Kayden and safe zone at any time.
It is given that initially
![d=160](https://img.qammunity.org/2020/formulas/mathematics/high-school/j4gefwqilh52kt8oevjfs0h4jvd3mh653x.png)
Lrt her speed be
![v](https://img.qammunity.org/2020/formulas/physics/middle-school/vg4j9groq6ywazzo3qhdx1syyrcy53mhlf.png)
Since the speed is constant,the distance covered by her in
seconds=
![v* t](https://img.qammunity.org/2020/formulas/mathematics/high-school/lx2tn2q9l3q6i2z85ljlpn5pserkgfpjzr.png)
So,the distance between her and safe zone after
seconds is
![160-vt](https://img.qammunity.org/2020/formulas/mathematics/high-school/c8nx2vza3lre8eidw9xbi2383bhnxoixbu.png)
It is given that after
seconds,
![d=85](https://img.qammunity.org/2020/formulas/mathematics/high-school/jq393supyjtnpms8pj6sdt9xr2o53wemrj.png)
So,
![160-3v=85](https://img.qammunity.org/2020/formulas/mathematics/high-school/tb75ndqxcyanrvdw5wupqdmjg5kpw1hii9.png)
![3v=75](https://img.qammunity.org/2020/formulas/mathematics/high-school/pncu5y3f8diekup4d2dq5t9xthn6uxcnrw.png)
![v=25](https://img.qammunity.org/2020/formulas/mathematics/high-school/gfoescg0ckefm3c5j9gcyjx0glhdyuhgou.png)
So,
![d=160-3t](https://img.qammunity.org/2020/formulas/mathematics/high-school/rs41sb67j6s8dbolt0d7qirthk8odur7th.png)