Ruben runs 4 miles in 30 minutes. At the same rate how many minutes would he take to run 10 miles?
4:30=x:10
To determine the time Ruben would take to run 10 miles at the same rate, we can use a proportion:
miles / time = miles / time
We know that Ruben runs 4 miles in 30 minutes. Let's call the unknown time it takes to run 10 miles "x". We can set up the proportion as follows:
4 miles / 30 minutes = 10 miles / x
To solve for x (the time it would take to run 10 miles), we can cross-multiply:
4 * x = 30 * 10
4x = 300
Divide both sides of the equation by 4:
x = 300 / 4
x = 75
Therefore, Ruben would take 75 minutes to run 10 miles at the same rate.