If Juan takes 12 seconds to run y yards, how many seconds will it take him to run x yards at the same rate? Choose the most appropriate option
A) 12x/y B) 12y/x C) x/(12y) D) 13/(xy) E) xy/12
This problem is testing us on the Rate x Time = Distance relationship. This relationship also tells us that Rate = Distance/Time and Time = Distance/Rate.   Ultimately, we are looking for how many seconds it will take Juan to run x yards. Thus, the equation we’ll use is: Time = Distance/Rate. We know the distance is x yards, and we need to find Juan’s rate.   We can find Juan’s rate as follows: Rate = Distance/Time = y yards/12 seconds   Using that rate, we need to determine how long it takes him to run x yards at the same rate. So we have:   Time = Distance/Rate   Time = x yards/(y yards/12 seconds)   Time = (x yards) x (12 seconds/y yards)   Time = 12x/y seconds   12x/ynswer 12x/y.
<result>A</result>
If Juan takes 12 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?