Let t be the time it takes for Allison to catch up to Sheila.
Since Sheila drives at 30 mph for t+2 hours, she travels 30(t+2) miles.
Allison drives at 45 mph for t hours, she travels 45t miles.
When Allison catches up to Sheila, they would have traveled the same distance.
So, 30(t+2) = 45t
30t + 60 = 45t
15t = 60
t = 4
Therefore, Allison will catch up to Sheila 4 hours after she leaves home.
The answer is 4 hours.
Sheila leaves on a long trip driving at a steady rate of 30 miles per hour. Her sister Allison leaves from the same location traveling to the same destination 2 hours later. She drives at a steady rate of 45 miles per hour. How long after Allison leaves home will she catch up to Sheila?
6 hours
5 hours
4 hours
2 hours
1 answer
2 answers