Alan participated in a car race in which he had to cover a distance of at least 50 kilometers. He had fuel in his car for a maximum distance of 53 kilometers. If the distance is given by S(t)=3t+47 , where (t) is the time in hours, find the minimum and maximum number of hours for which Alan can drive his car.

so


In general his limits are:

but assuming he wants to stay in the race:


and his limits are: