A temporary diversion has been constructed on a highway of+4 percent grade due to major repairs that are being undertaken on a bridge. The maximum speed allowed on the diversion is 20 mi/h. Determine the minimum distance from the diversion that a road sign should be located informing drivers of the temporary change on the highway. Assume that a driver can read a road sign within his or her area of vision at a distance of 30 ft for each inch of letter height.

Speed limit on highway = 65 mi/h

Letter height of road sign = 8 in.

Perception-reaction time = 2.5 sec