contestada

It takes you 3 hours to drive to a concert 135 miles away. You drive

55 miles per hour on highways and 40 miles per hour on the rest of

the roads. (Section 5.1, Section 5.2, and Section 5.3)

a. How much time do you spend driving at each speed?

b. How many miles do you drive on highways? the rest of the roads?

Respuesta :

Answer:

(a)

Time spend on highway is 2.68421 hours

And time spend on rest roads is 0.31579 hours

(b)

Distance traveled by highways is 147.63155 miles

Distance traveled by rest roads is 13.89476 miles

Step-by-step explanation:

(a)

Let's assume time spend on  highways as 't' hours

Total hours =3 hours

So, time spend on road =t-3

55 miles per hour on highways and 40 miles per hour on the rest of  the roads

So,

total distance= distance traveled by highway + distance traveled on rest

distance traveled by highway = 55t

distance traveled on rest=40(t-3)

now, we can find total distance

=55t+40(t-3)

we are given

total distance =135

so, we can set it equal to 135

and then we can solve for t

[tex]135=55t+40(t-3)[/tex]

[tex]95t=255[/tex]

[tex]t=2.68421[/tex]

So,

Time spend on highway is 2.68421 hours

And time spend on rest roads is 3-2.68421=0.31579 hours

(b)

Distance traveled by highways is

[tex]=55\times 2.68421[/tex]

[tex]=147.63155miles[/tex]

Distance traveled by rest roads is

[tex]=44\times 0.31579[/tex]

[tex]=13.89476miles[/tex]