Answer:
540m
Step-by-step explanation:
From the question,we are told
It takes 30 minutes or less to walk from home to school and back home again
Time walking to school = 30 or less minutes
Time walking from school = 30 less minutes
Speed walking to school = 30m/min
Speed walking from school = 45m/min
The question asked us to find the Distance between home and school
The formula for Distance covered = Speed × Time
Total distance = Total Speed(m/min) × Total time(minutes)
Let the distance between home and school be represented by x
Time to walk from the house to school = x/ 45m/min + x/ 30m/min
= 30 × x + 45 × x/1350
=( 75x / 1350)
Time to walk from school or to school = 30 minutes of less
= 75x/1350 = 30
75x = 1350 × 30
x = 1350 × 30/75
x = 540m
Therefore, distance between home and school = 540m