Question

At 9:30 AM, Alexandra is 440 yards away from class and is walking 4 miles per hour towards class.

Also at 9:30 AM, Sam is walking towards a class at 4.5 miles per hour from some unknown distance. They arrive at class at exactly the same time. How many seconds after 9:30 AM did they arrive at class and how far away was Sam from class at 9:30 AM?

Answer 1

1,760 yards = 1 mile

Alexandra:

4h = 440/1,760 = 1/4 mile

h = 1/16 hour = 3.75 minutes

Alexandra arrives at class at 9:33:45 A.M.

Sam:

(4.5 mph)(1/16 hour) = 9/32 miles

Alexandra and Sam arrived at class 3 minutes 45 seconds (3.75(60) = 225 seconds) after 9:30 A.M. Sam was 9/32 miles (495 yards) from class.