d = distance between home and school
v₁ = average speed while going from home to school = 32 mph
t₁ = time taken to travel distance going from home to school
time taken to travel distance going from home to school is given as
t₁ = d/v₁
t₁ = d/32 eq-1
v₂ = average speed while going from school to home = 48 mph
t₂ = time taken to travel distance going from school to home
time taken to travel distance going from school to home is given as
t₂ = d/v₂
t₂ = d/48 eq-2
t = total time of travel = 1 hour 15 min = 1.25 hour
total time of travel is given as
t = t₁ + t₂
using eq-1 and eq-2
1.25 = (d/32) + (d/48)
d = 24 miles
