I need help in math.?

Question

Savannah left Miami and drove at a speed of 47 mph. Timothy left 2 hours later, from the same point, and drove at a speed of 58 mph. How long will it take Timothy to catch up with Savannah?

8.55 hours
9 hours
6 hours
7.5 hours


I really don't understand how to do this thing.
Someone min helping and explaining?

Answer 1

If T is the number of hours Tim drives then at time T,
he will have driven 58T miles. Savanah has a 2 hour
head start so she has already driven 2*47 = 94 miles, and
at time T she have driven a total of 94 + 47T miles.

The time they meet is when both have gone the same distance, or when

58T = 94 + 47T

subtract 47T from both sides to get

11T = 94

or

T = 94/11, which is about 8.55 hours.