Hello!
The problem above has asked that we translate the given variable answer into a complete sentence. To do this, we’ll begin by re-analyzing the preceding problem.
We are given that Dave and Mary are traveling in opposite directions at different rates of speed. Mary is traveling at 50 MPH while Dave is traveling at 40 MPH. Based on this information, we can conclude that the distance between them increases by 90 miles every hour. This can be represented by the following formula (let “T” represent the number of hours after 10am):
90t
The above expression will tell us how many miles apart Dave and Mary are after “T” hours. The problem has asked us to calculate the time at which they will be 270 miles apart. To do so, we’ll simply set the above formula equal to 270 and solve for the variable T:
90t = 270
Now divide both sides of the equation by 90:
t = 3
We have now proven that T is equal to 3, which matches the given answer. However, we now understand that “T” represents the number of hours after 10am. We know that T is equal to 3, and 3 hours after 10am is 1pm. Therefore, the correct sentence is as follows:
The buses will be 270 miles apart at 1pm.
I hope this helps!
