Candice leaves on a long trip driving at a steady rate of 35 miles per hour. Her sister Liz leaves from the same location traveling to the same destination 3 hours later. She drives at a steady rate of 50 miles per hour. How long after Liz leaves home will she catch up to Candice?
9 hours
7 hours
3 hours
10 hours
To find out how long after Liz leaves home she will catch up to Candice, we need to first determine the distance that Candice covers in the 3 hours before Liz leaves home.
Distance = Speed x Time
Distance = 35 miles/hour x 3 hours
Distance = 105 miles
Now, when Liz leaves home, Candice is already 105 miles ahead. Liz is traveling at a speed of 50 miles per hour, and Candice is traveling at a speed of 35 miles per hour. Liz is able to catch up at a rate of 50 - 35 = 15 miles per hour.
Now we set up the equation:
Distance = Rate x Time
105 miles = 15 miles/hour x Time
Time = 105 miles / 15 miles/hour
Time = 7 hours
Therefore, Liz will catch up to Candice 7 hours after she leaves home.
Answer: 7 hours.