Help with homework please question in description.

Question

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?

Answer 1

distance=rate*time

d=35*t

d=50*(t-3)

35t=50*(t-3)

35t=50t-150

35t-50t=-150

-15t=-150

15t=150

t=150/15

t=10 hours

t-3=10-3=7 hours later Liz will catch up to Candace