Question

it takes 30 minutes or less to walk from home to school and back home again when walking at 30 m/min to school and walking at 45 m/min from school .what is the distance between home and school​

Answer 1

Step-by-step explanation:

Required Formula:

Time = Distance/Time

Let the distance between home and school be denoted as “d” meter.

It is given that

The speed while going from home to school = 30 m/minutes  

And,

The speed while going from school back to home = 45 m/minutes  

So, based on the above formula, we get

The time taken to go from home to the school, t1 = (d/30 ) minutes

And

The time taken to go from school back to home, t2 = (d/45) minutes

∴ The total time for the entire journey will be  

= t1 + t2  

= d/30 + d/45  

= [30+45] / [30*45]

= 5d/90  

= (d/18) minute s

But the total time to walk from home to school and back home again is given as less than or equal to 30 mins.

∴ (d/18) ≤ 30

i.e. d ≤ 18 x 30 ≤ 540 metres

Thus, the distance between home and school is 540 meters.

Answer 2

Answer:

My friend the correct answer is 540 m.

If you need the formula, you can comment me in the comments section.

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