Question

Help? :) if u can please explain <3

Answer 1

Answer:

5.43 miles

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]

$t = \frac{26.25}{29}$

$t =0.91$

[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