Kevin and Michelle traveled together by car and shared the driving. Kevin drove for 3.25 hours, then Michelle drove for 1.5 hours. Their total distance is given by the expression below.

42(3.25) + 35(1.5)

What does the 35 represent in this expression?

Question

contestada

Respuesta :

joaobezerra joaobezerra · Answer 1 · 2021-10-01T12:51:07+02:00

Using the relation of velocity, distance and time, it is found that 35 represents Michelle's velocity.

-----------------------------

Velocity is distance divided by time, then:

[tex]v = \frac{d}{t}[/tex]

Kevin drove for 3.25 hours, thus [tex]t_1 = 3.25[/tex]. The distance drove by Kevin is:

[tex]d_1 = v_1t_1[/tex]

[tex]d_1 = 3.25v_1[/tex]

Michelle drove for 1.5 hours, thus [tex]t_2 = 1.5[/tex]. The distance drove by Michelle is:

[tex]d_2 = v_2t_2[/tex]

[tex]d_2 = 1.5v_2[/tex]

The total distance is:

[tex]d = d_1 + d_2[/tex]

[tex]d = 3.25v_1 + 1.5v_2[/tex]

Comparing to the expression:

[tex]3.25v_1 + 1.5v_2 = 3.25(42) + 1.5(35)[/tex]

We get that 42 is Kevin's speed and 35 is Michelle's speed.

A similar problem is given at https://brainly.com/question/24316569