```Question 508764

What you did was calculate the time it took the Andersons to cover the distance

What you need, as the question asks is to determine the time it took the Quentins to overtake the Andersons, which is the same as the time it took the Quentins to cover the same distance that the Andersons covered.

You got the Andersons' time as {{{(-65/2)/-15}}}, or {{{13/6}}}, or {{{2&1/6}}} hours, or 2 hours 10 mins.

Now, in order to find the time it took the Quentins' to catch up to the Andersons, we simply subtract {{{1/2}}} hour, or 30 mins from the Andersons' time to get the Quentins' time, which becomes {{{highlight_green(1&2/3)}}} hours, or 1 hour and 40 mins.

Remember that the Andersons will take a longer time to cover the distance that the Quentins will eventually cover, 30 minutes after the Andersons left. With the Andersons traveling at a slower speed, and having left before the Quentins, the Quentins higher speed and lesser hours will allow them to catch up to and eventually pass the Andersons. The other thing you need to note is that both will have covered the same distance when the Quentins catch up to the Andersons. I hope this makes it a little clearer for you.