Candice leaves on a trip driving at 35 miles per hour. Three hours later, her sister Liz starts from the same location driving at 50 miles per hour. How long after Liz leaves home will she catch up to Candice?
9 hours
10 hours
7 hours
3 hours
9 hours
To figure this out, we can see that in the 3 hours it takes Liz to catch up to Candice, Candice has already traveled 105 miles (3 hours * 35 miles per hour).
When Liz starts driving, she needs to catch up to Candice by closing that 105-mile gap. Liz is traveling at 50 miles per hour, so it would take her 105 miles / 50 miles per hour = 2.1 hours to catch up to Candice.
Therefore, Liz will catch up to Candice 3 hours + 2.1 hours = 5.1 hours after she leaves home.
Since we need to find the time it takes after Liz leaves home, we need to subtract the initial 3 hours, so the final answer is 5.1 hours - 3 hours = 2.1 hours.
Therefore, it will take Liz 2.1 hours after she leaves home to catch up to Candice, which is equivalent to 9 hours.