(BEST ANSWER GETS MEDAL!) If one is added to the reciprocal of three times a number, the result is five times the reciprocal of the number. What is the number?

Question

anonymous · Answer

$$\frac{1}{3x}+1=\frac{5}{x}$$ would be my interpretation, but i could be wrong

anonymous · Answer

Can you help me with one more problem please? :) That was correct @satellite73

anonymous · Answer

Two cars leave town A at the same time and travel to town B, 480 miles away. The speed of the slower car is 20 mph less than the speed of the faster car. If the slower car arrives at town B two hours after the faster car, what is the speed of the slower car?

anonymous · Answer

i hate word problems

anonymous · Answer

haha ok

anonymous · Answer

but we can do it anyways  i am sure

anonymous · Answer

well any help would be amazing :)

anonymous · Answer

just gotta think of how to use distance is rate times time
the rate of the slower car is what we are looking for so lets call it $x$ 
that makes the rate of the faster car $x+20$

anonymous · Answer

we don't know the time, but we know 
$$x(T+2)=480\
(x+20)T=480$$ maybe we can solve this for $x$

anonymous · Answer

yeah

anonymous · Answer

I hate these problems too...

anonymous · Answer

we are done really 
i think if we solve we will get $x=60$ lets check the answer

anonymous · Answer

That's correct! Thank you soo much! :)

anonymous · Answer

the slower car going 60 mph will take $480\div 60=8$ hours and the faster car going 80 mph will take (480/div 80=6\) hours