Explanation:
Distance covered by the particle is given by:
Distance (d) = rate (v) × time (t)
Speed of Mary, v₁ = 50 mph
Speed of Jim, v₂ = 60 mph
It is assumed that, Mary and Jim leave at the same time. After one hour, Jim is 10 miles ahead.
Distance travelled by Jim, d₁ = (60t + 10)
Distance travelled by Mary, d₂ = 50t
The distance between Mary and Jim is greater than or equal to 100 miles.
![60t+10-50t\ge100](https://tex.z-dn.net/?f=60t%2B10-50t%5Cge100)
![10t\ge90](https://tex.z-dn.net/?f=10t%5Cge90)
![t\ge9\ h](https://tex.z-dn.net/?f=t%5Cge9%5C%20h)
So, Jim takes is 9 hours more than Mary to cover same distance. Hence, this is the required solution.