Question

Doug and Ken are meeting for lunch at Rodrigo's Mexican Restaurant. Doug's work place is 5 miles from the restaurant and Ken's work place is 7 miles from the restaurant. Both of them drive at the same rate and Doug takes t minutes to get there while Ken takes m minutes to get there. Which equation represents this information?

Answer 1

Doug and Ken are driving at the same rate but they are coming from different places, with different distances. Since Doug takes t minutes and he is traveling 5 miles, his equation will be t=5x with x being the rate. Since Ken takes m minutes and he is traveling 7 miles, his equation will be m=7x with x being the rate. The equation that represents their travel would be 7/m = 5/t = x.

Answer 2

Doug and Ken are driving at the same rate but they are coming from different places, with different distances. Since Doug takes t minutes and he is traveling 5 miles, his equation will be t=5x with x being the rate. Since Ken takes m minutes and he is traveling 7 miles, his equation will be m=7x with x being the rate. The equation that represents their travel would be 7/m = 5/t = x.