Problem $1($Chapter $7)$: The figure below shows a no$-$control intersection. In this figure the

horizontal direction $($or east$/$westbound$)$ is the major road while the vertical direction

$($north$/$southbound$)$ is the local road. A building is located $b$ ft from the centerline of the

right lane of a local road and $a$ ft from the centerline of the right lane of the major road.

$(1)$ Assume $b=60ft$ and $a=80ft.$ If the speed limit on major road is $45mph,$ the approach

grades are $1\%,$ what should be the speed limit on local road?

$(2)$ Assume $b=60ft$ and $a=80ft.$ if the speed limit on major road is $50mph,$ the approach

grades are $-6\%$ for major road and $+4\%$ for minor road, what should be the speed limit on

local road?