Question

Help? :) if u can please explain <3

Answer 1

5.43 miles

Step-by-step explanation:

Required

Determine the distance from school to her home

Given.

[When going to school]

`Speed = 6mph`

Represent time with t

Distance is calculated as:.

`Distance = Speed * Time`

`Distance = 6 * t`

`Distance = 6t`

[When coming back from school]

`Speed = 35mph`

`Time = \¾\ hour\ lesser`

This implies that she spends t - ¾hr when coming back from school.

So,

`Distance = Speed * Time` becomes

`Distance = 35 * (t - \¾)`

`Distance= 35(t - \¾)`

[Equate both expressions of distance]

`35(t - \¾) = 6t`

[Open Bracket]

`35t - 35 * \¾ = 6t`

`35t - 26.25 = 6t`

[Collect like terms]

`35t - 6t = 26.25`

`29t = 26.25`

[Solve for t]

`t = (26.25)/(29)`

`t =0.91`

[Substitute 0.91 for t in]

`Distance = 6t`

`Distance = 6 * 0.91`

`Distance = 5.43\ miles`

Hence, the school is 5.43 miles from her home