Question 193747
Let  vel=Distance/Time
let  d  =  distance  to  work
t1=d/vel=d/45
t2= d/30
t1+t2=1,,,,given
d/45+d/30=1
let  LCD  =90
(2d +3d)/90  =  1
5d=90
d=18

check
18/45 +18/30  =1
.4  +  .6=1,,,,ok