Mr. and Mrs. Rivers left their house at 10:00 a. m. driving in opposite directions. Mr. Rivers drove at an average speed of 48 mph and Mrs. Rivers drove at an average speed of 36 mph. At what time will Mr. Rivers be 24 miles farther from home than Mrs. Rivers?
please answer

12 p.m.

Step-by-step explanation:

First we use the given data and we find that Mr. Rivers is 12 mph faster that Mrs. Rivers. We then find that we have to get a total of 24 miles, so we find that it has to be 2 hours. After 2 hours it will 12 p.m.

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the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is