Question 1192867: Thaddeus and Ian start at the same location and drive in opposite directions, but leave at different times. When they are 575 miles apart, their combined travel time is 11 hours. If Thaddeus drives at a rate of 50 miles per hour and Ian drives at a rate of 55 miles per hour, how long had each been driving?
Thaddeus has been driving ____ hours, and Ian has been driving ____ hours
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Thaddeus and Ian start at the same location and drive in opposite directions, but leave at different times.
When they are 575 miles apart, their combined travel time is 11 hours.
If Thaddeus drives at a rate of 50 miles per hour and Ian drives at a rate of 55 miles per hour, how long had each been driving?
:
let t = T's travel time
the total of both times is 11 hrs, therefore
(11-t) = I's travel time
:
Write a distance equation, dist = speed * time
T's dist + I's dist = 575 miles
50t + 55(11-t) = 575
50t + 605 - 55t = 575
50t - 55t = 575 - 605
-5t = -30
t = -30/-5
t = +6 hrs is T's travel time
then
11-6 = 5 hrs is I's travel time
:
Check, find actual dist for each
6*50 = 300 mi
5*55 = 275 mi
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total d: 575
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