Distance

[matty999]

How do I set up this problem?
Ann went from point A to point B. Simultaneously Peter went from B to A. In 6 hours they met and in another 3 hours Peter reached B. How many hours did Ann travel from A to B?

A)18
B)9
C)4.5
D)15
E12

 

[mmm4444bot]

With constant rates, the time and distance are directly proportional. So, for example, if 1/3rd of your travel time has elasped, then you've traveled 1/3rd of your distance. If you've covered half the distance, then half of the time has gone by.

Peter traveled 9 hours total. He met Ann after 6 hours. In other words, he had gone 2/3rds of the way from point B to point A, when they met.

This means that it took Ann 6 hours to go 1/3rd of the distance from point A to point B.

Can you finish ?