finding distance

Question

Jamie recently drove to visit her parents who live 560 miles away. On her way there her average speed was 24 miles per hour faster than on her way home (she ran into some bad weather). If Jamie spent a total of 16 hours driving, find the two rates.

Answer 1

d = r · t

d / r = t

560 / (r + 24) = t_going

560 / r = t_returning

t_going + t_returning = 16

560 / (r + 24) + 560 / r = 16

 

Can you solve for r and answer?