meters in x minutes

LulaBrazilia wrote:At the rate of m meters per s seconds, how many meters does a cyclist travel in x minutes?

A) m/sx
B) mx/s
C) 60m/sx
D) 60ms/x
E) 60mx/s

Here's the INPUT-OUTPUT approach.
Choose some values that work for m, s and x.

If m = 1 and s = 60, we are saying that the cyclist travels at 1 meter per 60 seconds, which is the same as 1 mile per minute.
Now, let's say the cyclist wants to travel 2 miles (i.e., x = 2)
At a speed of 1 mile per minute, it will take the cyclist 2 minutes to travel 2 miles.
So, when the INPUT is m = 1, s = 60 and x = 2, the OUTPUT is 2 minutes

Now, we'll plug m = 1, s = 60 and x = 2 into the answer choices and see which one(s) yields an output of 2

A) m/sx = (1)/(60)(2) = 1/120 Nope
B) mx/s = (1)(2)/(60) = 1/30 Nope
C) 60m/sx = 60(1)/(60)(2) = 1/2 Nope
D) 60ms/x = 60(1)(60)/(2) = 1800 Nope
E) 60mx/s = 60(1)(2)/(60) = 2 PERFECT!

Answer: E

Cheers,
Brent