A ride at a theme park lasts 1 1/2 minutes. It takes 2 minutes to prepare the ride for each trip. How many times can the ride be completed in 30 minutes.

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!

8 or 8 1/2 because you won't finish the ride due to 28 + 3 1/2 being odd