SOLUTION: Mary and Tiffany left their university for their homes at the same time. Mary's home is 285 miles from the university and Tiffany's home is 220 miles from the university. When Mary

Click here to see ALL problems on Human-and-algebraic-language

Question 31770: Mary and Tiffany left their university for their homes at the same time. Mary's home is 285 miles from the university and Tiffany's home is 220 miles from the university. When Mary came home she called Tiffany and she found that Tiffany arrived at her home at the same time as Mary got to her home. If Mary drove 57 mph, How fast did Tiffany drive in mph? Attach the unit mph to your answer
Answer by atif.muhammad(135) (Show Source):
You can put this solution on YOUR website!
Let's see what we know:
Mary's Distance = 285 miles
Mary's Speed = 57mph
Mary's Time = x
Tiffany's Distance = 220 miles
Tiffany's Speed = w mph
Tiffany's Time = x
The reason both Tiffany and Mary's time = x, is because they both got home at the same time so they must have taken the same time to get home. duh!
Distance = Speed x Time
Time = Distance divided by Speed
Mary's Time = 285 divided by 57
-->This is the time both of them took to get home
This is therefore, the time Tiffany took to get home as well.
Distance = Speed x Time
Speed = Distance divided by time
Tiffany's Speed = Tiffany's Distance divided by Tiffany's Time

w =44 mph!