A barge delivering a crane to the port of Oakland has to wait for lower tides in order to clear the Bay Bridge. At low tide, the maximum clearance for the bridge is $186$ feet. At high tide the maximum clearance is $178$ feet. The crane requires a clearance of $184$ feet. Tomorrow, low tide occurs at 9:20 a.m. and high tide occurs at 2:50 p.m. For what time intervals will the crane be able to clear the bridge?