Aaron will jog from home at x miles per hr and then walk back home by the same route at y miles per hr. How many miles from home can Aaron jog so that he spends a total of t hrs jogging and walking?
a. (xt)/y
b. (x+t)/xy
c. (xyt)/x+y
d. (x+y+t)/(xy)
e. [(x+t)/x] - (t/y)
I plugged in values for x and y and t, and then tried to match the values from the answer choices. I got the right answer, but that method took more than 2 minutes, and for these types of questions, it is difficult at first to see what numbers to plug in for X,Y, and T so that they are "smart" numbers. I was wondering if there was a simpler algebraic method, or some way for us to know what numbers to pick so that the problems could be done faster.
a. (xt)/y
b. (x+t)/xy
c. (xyt)/x+y
d. (x+y+t)/(xy)
e. [(x+t)/x] - (t/y)
I plugged in values for x and y and t, and then tried to match the values from the answer choices. I got the right answer, but that method took more than 2 minutes, and for these types of questions, it is difficult at first to see what numbers to plug in for X,Y, and T so that they are "smart" numbers. I was wondering if there was a simpler algebraic method, or some way for us to know what numbers to pick so that the problems could be done faster.
