steve traveled 200 miles at a certain speed. had he traveled 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.

Question

ganeshie8 · Answer

$\textbf{distance travelled = 200 miles} \ \textbf{lets say his speed = x mph}$

now we can setup the equation  :
$$ \frac{200}{x}-1 = \frac{200}{x+10} $$

x is your originial speed. solve to get the answer.. .

anonymous · Answer

how do I figure out what x is?

ganeshie8 · Answer

we got an equation with rational expressions... did they cover in ur syllabus... solving rational equations yet ?

anonymous · Answer

yes

ganeshie8 · Answer

good.. so can you solve for x ?

anonymous · Answer

no

anonymous · Answer

don't fully understand yet.

ganeshie8 · Answer

ok no probs.. il walk you through this once...

anonymous · Answer

tks

ganeshie8 · Answer

$$\frac{200}{x}-1 = \frac{200}{x+10}$$

$$200(x+10) -x(x+10) = 200x$$
$$200x +2000 -x^2 -10x = 200x$$
$$x^2+10x-2000 = 0$$
$$(x+50)(x-40) = 0$$
$$x=40\ mph$$

anonymous · Answer

Thank you, Appericate the help.

ganeshie8 · Answer

welcome :)