Two people leave by car from the same location, traveling in opposite directions.
One leaves at 2:00 pm, driving at 55 km/hr,
while the other leaves at 3:00 pm, driving at 45 km/hr.
At what time will they be 280 kilometers apart?
Did you make a sketch?
A P S B
* ← ----------* ← ----- * ----------------- → *
: - - 55t - - : - 55 - : - - - 45t - - - - - :
At 2 pm, car A starts at S and drives west at 55 km/hr.
In the first hour, it drives 55 km to point P.
In the next t hours, it drives 55t km more to point A.
At 3 pm, car B start at S and drives east at 45 km/hr.
In the next t hours, it drives 45t km to point B.
The distance between A and B is to be 280 km.
And there is our equation! . (55t + 55) + 45t .= .280
Solve for x and answer the question.