Math, asked by preston2k16, 7 months ago

You walk at an average of 3.2 miles per hour on the way to school, and at an average of 4 miles per hour on the way home. The total walking time is 18 minutes. How far away is the school? Round your answer to the nearest hundredth of a mile.

Answers

Answered by Vinayyadav80
0

Average walking speed on the way to school =3.2\text {mph}mph

Average walking speed on the way to home =4\text {mph}mph

let total distance from home to school be = \text{D}D

Distance from home to school = distance from school to home

time taken from home to school = \frac{\text{D}}{3.2}

3.2

D

\text{hours}hours

time taken from school to home = \frac{\text{D}}{4}

4

D

\text{hours}hours

Total time taken = 18 minutes = \frac{18}{60}\text{hours}

60

18

hours

\frac{\text{D}}{3.2}

3.2

D

\text{hours}hours + \frac{\text{D}}{4}

4

D

\text{hours}hours = \frac{18}{60}\text{hours}

60

18

hours

\text{D}(\frac{1}{3.2}+\frac{1}{4})=\frac{18}{60}D(

3.2

1

+

4

1

)=

60

18

\text{D}\frac{9}{16}=\frac{18}{60}D

16

9

=

60

18

\text{D}=\frac{32}{60}D=

60

32

\text{miles}miles

\text{D}=0.53D=0.53 \text{miles}miles

The school is 0.530.53 \text{miles}miles from home

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