Lets say you can go on 'x' number of times
If every time it takes 2min to prepare for the ride and the ride itself takes 1 and 1/2 min, then both together would be
2min + 1 and 1/2 min = 3 and 1/2 min
Now divide from 30
30/ (7/2) #notice I changed 3 and 1/2 to 7/2 so they are the same denominator
= 30 * 2/7 # when dividing by a fraction, you can multiply the numerator by the reverse of the bottom fraction
= 60/7
This number can not be simplified. However the number of full rides would be 8 times
7*8 = 56
Now the remaining 4/7 times... isn't possible! You can't go on a ride less than one time!
So the answer is 8!
