It takes 30 minutes or less to walk from home to school and back home again when walking at 30m/min to school and walking at 45 m/min from school. What is he distance between home and school

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