Question 1028889
rate * time = distance.


solve for time to get time = distance / rate.


this is the same as time = distance * (1/rate).


since the rate is constant, you can set k equal to 1/rate.


the formula becomes time = k * distance.


this means the time is directly proportional to the distance, as long as the speed is always the same.


for example:


you travel at 50 miles per hour for 2 hours.


your distance is 100 miles.


you travel at 50 miles per hour for 4 hours.


your distance is 200 miles.


you have a direct ratio of hours to miles.


2 hours is to 100 miles as 4 hours is to 200 miles.


2/100 = 4/200


cross multiply to get 2*200 = 4*100 which results in 400 = 400 which confirms the ratio is true.


the constant of proportionality is 1/50.


your equation is time = 1/50 * distance.


2 hours = 1/50 * 100 miles


4 hours = 1/50 * 200 miles