Question $1.(0\mathrm{.}75$ point$)$

MDOT is supposed to decide on adding a passing lane in an upgrade segment of a

$2-$lane highway in a rural area with the following features:

Segment is located on an $4\%$ upgrade with a length of $1,500$ ft

Speed limit $=50mph$ for all the vehicles

AADT $=4,500$

Truck volume $=10\%$ of AADT

Peak flow direction belongs to downgrade lane

Lane Width $=11ft$

Should MDOT add a passing lane here? Why?

Assuming that we need a passing lane here, how much should be the length

of passing lane and its taper?