QuestionIf 12 houses are spaced equally in a circle and walking from house 1 to house 4 takes 9 minutes, how long for a full circle?

Studdy Solution

STEP 1

Assumptions1. There are12 houses equally spaced around a circular road. . It takes9 minutes to walk from house1 to house4.
3. The time taken to walk between any two adjacent houses is constant.

STEP 2

First, we need to find out the number of houses between house1 and house4. $Number\, of\, houses =4 -1$

STEP 3

Calculate the number of houses between house1 and house.
$Number\, of\, houses = -1 =3$

STEP 4

Now, we need to find out the time taken to walk between two adjacent houses. We can do this by dividing the total time taken to walk from house1 to house4 by the number of houses between them.
$Time\, per\, house = Total\, time / Number\, of\, houses$

STEP 5

Plug in the given values for the total time and the number of houses to calculate the time taken to walk between two adjacent houses.
$Time\, per\, house =9\, minutes /3$

STEP 6

Calculate the time taken to walk between two adjacent houses.
$Time\, per\, house =9\, minutes /3 =3\, minutes$

STEP 7

Now that we have the time taken to walk between two adjacent houses, we can find out the total time taken to walk around the circle. This can be done by multiplying the time taken to walk between two adjacent houses by the total number of houses.
$Total\, time = Time\, per\, house \\times Total\, number\, of\, houses$

STEP 8

Plug in the values for the time per house and the total number of houses to calculate the total time.
$Total\, time =3\, minutes \\times12$

STEP 9

Calculate the total time taken to walk around the circle.
$Total\, time =3\, minutes \\times12 =36\, minutes$ It takes36 minutes to walk completely around the circle.

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