Problema Solution
Amy had a 120-yard head start on Kathy. Kathy ran at 15 yards per second, and Amy ran at 3 yards per second. How far did Kathy have to run to catch Amy?
Answer provided by our tutors
let
v1 = 15 yards per second the speed of Kathy
v2 = 3 yards per second the speed of Amy
t = the time of their run
d = the distance that Kathy ran
since speed = distance/time follows distance = speed*time
the head start + the distance Amy ran = the distance Kathy ran
120 + 3t = 15t
by solving we find
t = 10 sec
click here to see the step by step solution of the equation
the distance Kathy ran = 15*10 = 150 yards
Kathy ran 150 yards to catch Amy.