Question 936252
let distance from work place to home be x miles

time while going = x/30

time returning = x/25

total time = 1 hour 6 minutes = 1 6/60 = 11/10 hours

x/30 + x/25 = 11/10

multiply equation by LCM 150

150*x/30 + 150*x/25 = 150*11/10

5x+6x=165

11x=165
/11
x=15

Distance = 15 miles