How do you solve these types of problems.?

Martina leaves home at 9.A.M., bicycling at a rate of 24mi/h. Two hours later, John leaves, driving at the rate of 48mi/h. At what time will John catch up with Martina?

The basic formula is
distance= speed*time

However, remember that if some time is later than t, then that time is t-a, where a is the time later.

The distance they go is the same.

distance=24*time
distance=48(time-2)
solve for time. Add 9 am to get the clock (24 hour time).

We will be happy to critique your work.

what does all this mean?

leah--Please post it if you have a question.

Martina leaves home at 9 A.M., bicycling at a rate of
24 mi/h. Two hours later, John leaves, driving at the rate of 48 mi/h. At what time
will John catch up with Martina?