d = total distance of the trip. We know that 345 miles is only 3/5 of the trip. Due to the fact that we know this, we can do some simple math to find the total distance. 345/3 = 115
115 * 5 = 575
This means we are looking for the equation which gives us d = 575.
Lets solve each problem:
A) 3/5 / d = 345. This would give us d = .0017. Which is way too small to be the total distance.
B) 3/5 * d = 345. This would give us d = 575. Seems like our answer, but lets keep trying the other ones.
C) 345 * d = 3/5. d = .0017, this is not right.
D) 345 / d = 5/3. This is d = 207, which is also wrong.
So our answer should be B. [tex]\frac{3}{5} *d=345[/tex]
I hope this helps! :)