Question #82836

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Answer 1 · 2016-10-15T00:36:50

The rate before lunch = 40 miles/ hour

$2 xx x + 3 xx ( x + 10) = 230$

where $x =$ the rate before lunch
$2x =$ the distance traveled by the rate for two hours.

where $( x + 10 ) =$ the rate after lunch.

$3 ( x + 10 ) =$ the distance travel by that rate for three hours.

$230 =$ the total distance traveled.

Solve the equation for x will give the rate before lunch

$2 xx x + 3 ( x +10) = 230$ first multiply across the parenthesis using the distributive property. This gives.

$2x + 3x + 30 = 230$ Now use the associate property to add the like terms $2x + 3x = 5x$ so

$5x + 30 = 230$ subtract 30 from both sides gives

$5x + 30 - 30 = 230-30$ This results in

$5x = 200$ divide both sides by 5

$(5x)/5 = 200/5$ The answer is

$x = 40$