A tourist calculated that if he walks to the railroad station with a speed of 4 mph, he’ll miss the train by half an hour, but if he walks with a speed of 5 mph, he’ll reach the station 6 minutes before the departure of the train. What distance does the tourist have to cover?

12 miles

Step-by-step explanation:

speed

=

distance

/time

The tourist says that if his speed is  4  mph

, then he will be 30 minutes late (which is 0.5 hours). This means that he will travel  d  miles in  t+0.5  hours.

4=d/t+0.5

The tourist also says that if his speed is  5  

mph, then he will be 6 minutes early (which is 0.1 hours). This means that he will travel d  miles in  t

−

0.1  hours.

5=d/t−0.1

Multiply by the denominator to get 4t+2=d, and 5t-0.5=t.

We know that the two equations are equivalent, so

4t+2=5t-0.5

Simplify

t=2.5

Plug it in to the distance formula

4t+2=d

d=12

The tourist covers 12 miles.

Give Branliest if this helped!

idk

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is