To determine the time, we will use the following formula:
![S=(d)/(t),](https://img.qammunity.org/2023/formulas/mathematics/college/2wan2adl125s34w7jjh8nv907hwdjm7dcr.png)
where S is speed, d is distance, and t is time.
Before substituting, we convert from feet inches to miles:
![60^(\prime)6](https://img.qammunity.org/2023/formulas/mathematics/college/dl771z3d9z911eugxxntvy6qm6mhxztokj.png)
Substituting the above value, and S=100 MPH, we get:
![100MPH=(60.5)/(5280t),](https://img.qammunity.org/2023/formulas/mathematics/college/cp067484p7fm7bc1id9dyyrovq6mpb4z1l.png)
solving for t, we get:
![t=(60.5)/(5280*100)=(11)/(69000)hours.](https://img.qammunity.org/2023/formulas/mathematics/college/l8w82dem52pcr92p5tthv70lthmzehr1m3.png)
Finally, recall that:
![1\text{ hour=3600 seconds,}](https://img.qammunity.org/2023/formulas/mathematics/college/ktejt9i9weie2d0aqt9cd7czhm5j7gqdda.png)
therefore:
![t=0.413\text{ seconds.}](https://img.qammunity.org/2023/formulas/mathematics/college/nt1tiym23bgbcllkug0hkqiu4sztclc1wz.png)
Answer:
![0.413\text{ seconds.}](https://img.qammunity.org/2023/formulas/mathematics/college/o3ga1f5s0x1a2gb0odtqavdryeuvalwa4k.png)