Sarah left on the interstate at a speed of 60 mph. Her sister followed her on the same route, leaving 2 hours later at a rate of 65 mph. How long will it take for Sarah's siter to catch up with Sarah?

Answer 1

let the time taken to catch up be t hours

distance covered by the sister be 65t
distance covered by Sarah is 60(t+2)

but the went the same distance, so ...

65t = 60(t+2)

solve for t

Answer 2

24