Problema Solution
in a walkathon to raise money for a charity,Elisa walked a certain distance at 5 mi/h and then jogged twice that distance at 8 mi/h. her total time walking and jogging was 2h and 15 min. how many miles long was the walkathon?
Please show formula and all work
Answer provided by our tutors
let 'd' represent the walked distance
2d = the jogged distance (jogged twice the walked distance)
2 h 15 min = 2 + 15/60 hr = 2.25 hr
since speed = distance/time follows time = distance/speed
the time walking + the time jogging = the total time
d/5 + (2d)/8 = 2.25
by solving we find
d = 5 mi the walking distance
click here to see the step by stepsolution of the equation
2*5 = 10 mi the jogging distance
5 + 10 = 15 mi the total distance
the walkathon was 15 miles long.