SOLUTION: Thaddeus and Ian start at the same location and drive in opposite​ directions, but leave at different times. When they are 355 miles​ apart, their combined travel time
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Question 1061259: Thaddeus and Ian start at the same location and drive in opposite directions, but leave at different times. When they are 355 miles apart, their combined travel time is 11 hours. If Thaddeus drives at a rate of 30 miles per hour and Ian drives at a rate of 35 miles per hour, how long had each been driving? Found 2 solutions by josgarithmetic, MathTherapy:Answer by josgarithmetic(39618) (Show Source):
You can put this solution on YOUR website! Accounting for time quantities seems like a good way to think this, but not so good trying to see points on a time line. All we know of time is the sum of their travel times.
PERSON SPEED TIME DISTANCE
Thaddeus 30 t
Ian 35 i
Total 11 355
PERSON SPEED TIME DISTANCE
Thaddeus 30 t 30t
Ian 35 i 35i
Total 11 355
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Distance sum,
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Solve this system for the times, t and i: .
Use the Elimination Method.
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 355 miles apart, their combined travel time is 11 hours. If Thaddeus drives at a rate of 30 miles per hour and Ian drives at a rate of 35 miles per hour, how long had each been driving?
Let time Thaddeus spent driving be T
Then time Ian spent driving = 11 – T
We then get the following DISTANCE equation: 30T + 35(11 – T) = 355
30T + 385 – 35T = 355
30T – 35T = 355 – 385
– 5T = - 30
T, or time Thaddeus spent driving =
Time Ian spent driving:
It is that simple.....NOTHING COMPLEX!!
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