Question

Along a straight road through town, there are three speed-limit signs. They occur in the following order: 51 , 33 , and 26 mi/h, with the 33 -mi/h sign located midway between the other two. Obeying these speed limits, the smallest possible time tA that a driver can spend on this part of the road is to travel between the first and second signs at 51 mi/h and between the second and third signs at 33 mi/h. More realistically, a driver could slow down from 51 to 33 mi/h with a constant deceleration and then do the same thing from 33 to 26 mi/h. This alternative requires a time tB. Find the ratio tB/tA