Question

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

Answer 1

0.53 miles

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 =
`(18)/(60)\text{hours}`

`\frac{\text{D}}{3.2}`
`\text{hours}`+
`\frac{\text{D}}{4}`
`\text{hours}`=
`(18)/(60)\text{hours}`

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

`\text{D}(9)/(16)=(18)/(60)`

`\text{D}=(32)/(60)`
`\text{miles}`

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

The school is
`0.53`
`\text{miles}` from home

Answer 2

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
.53 mi
.133 hrs

Hope This Helped, Markadoodle
Your Welcome :)