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natita [175]
3 years ago
6

You walk 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 w

alking time is 18 minutes how far away is the school Round your answer to the nearest hundredth of a mile
Mathematics
2 answers:
7nadin3 [17]3 years ago
8 0
The answer to this question is:
You walk 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
<span>.53 mi 
</span><span>.133 hrs

Hope This Helped, Markadoodle
Your Welcome :)
</span>
guajiro [1.7K]3 years ago
5 0

Answer:

0.53 miles

Step-by-step explanation:

Given: You walk 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.

To Find: how far away is the school.

Solution:

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

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

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

Distance from home to school = distance from school to home

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

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

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

\frac{\text{D}}{3.2} \text{hours}+ \frac{\text{D}}{4} \text{hours}= \frac{18}{60}\text{hours}

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

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

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

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

The school is 0.53 \text{miles} from home

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