Problem $1$

A $2-$lane minor road intersects a $2-$lane major road at $90$ forming a four$-$leg intersect on a flat terrain.

The speed limit on the major road is $45$ mph $.$ The speed limit on the minor road is $35$ mph $.$ If the

building is located $50$ ft from the centerline of the outside lane of the minor road, determine the

minimum distance at which the building should be located from the centerline of the inner lane of the

major road, such that drivers on the major and minor roads can safely stop at the intersection without

colliding with each other.