Question

jim drove to friends house at a Rate of 50mi/hr. he returned by the same route at 45mi/hr. The driving time for the round trip was 3 hrs. what is the distance jim travelled

Answer 1

I would make a table like this:

Answer 2

We know the rates to put in there. 50 mph going and 45 mph coming back.

Answer 3

We also know that the distance there is equal to the distance back, although we do not know what that distance is. Not important. Fill it in like this:

Answer 4

This indicates the distance is the same both ways.

Answer 5

If the round trip was 3 hours, going there would be "t", and coming back would be 3 - t. So that goes in like this:

Answer 6

Now, since the distances are the same, we can solve each for d and then set them equal to each other. For the distance formula, d = rt, so that translates to this for our equations.

Answer 7

and t = 1.4

Answer 8

Now sub in that 1.4 for the t in the first equation and solve it for d. d = 50(1.4), and d = ?