Candice leaves on a long trip driving at a steady rate of 25 miles per hour. her sister liz leaves from the same location traveling to the same destination 4 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?

After 4 hours Liz will catch up to Candice.

Step-by-step explanation:

Let Liz will catch up Candice after t hours.

Liz is driving with a speed of 50 miles per hour.

So distance covered by Liz in t hours = Speed × Time

                                                                  = 50t miles

Time taken by Candice to cover the same distance will be = (t + 4) hours

(Candice has started 4 hours before her sister Liz)

Since Candice is driving with a speed of 25 miles per hour so distance covered in (t + 4) hours = 25(t + 4) miles

Distances covered by Candice and her sister Liz will be same when Liz Catches up Candice.

Therefore, 50t = 25(t + 4)

50t = 25t + 100

50t - 25t = 100

25t = 100

t = hours

After 4 hours Liz will catch up Candice.