Problema Solution
dave and his sister ann jog to school daily. dave jogs at 9 mile per hour, and ann jogs at 5 miles per hour. when dave reaches school, ann is 1/2 mile from the school. how far do dave and ann live from their school?
Answer provided by our tutors
let
v1 = 9 mph the speed of Dave
v2 = 5 mph the speed of Ann
d = the distance to school (the distance they jog)
t = the time that Dave need to reach school
since speed = distance/time follows speed*time = distance
when Dave reaches school, Ann is 1/2 mile from the school
v1*t = d
v2*t = d - 1/2
if we plug the values for v1 and v2 we get the system:
9t = d
5t = d - 1/2
by solving the above system of equations we find:
d = 1.125 mi
click here to see the step by step solution of the system of equations:
Dave and Ann live 1.125 miles away from their school.