A car traveled 960 mi at a certain speed. If the speed had been 12 miles faster, the trip could have been made in 4 hr less time. Find the speed.

Question

anonymous · Answer

any idea?

anonymous · Answer

not at all...

anonymous · Answer

wow!! if "not at all", then "how to start"?? hihihi

anonymous · Answer

I don't know that's why im asking for help:(

anonymous · Answer

Let get help @mosaic

anonymous · Answer

can't think of a snappy way, but i bet we can do it

anonymous · Answer

Yayy.. Thank you!!

anonymous · Answer

gimme a second to see if i can come up with an easy way
elsewise we just grind it til we find it

anonymous · Answer

ok

mosaic · Answer

Let x be the speed.
960 / x - 960 / (x+12) = 4

anonymous · Answer

distance is rate times time, so one equation is 
$$960=RT$$ and the other is 
$$960=(R+12)(T-4)$$

anonymous · Answer

@mosaic might be easier
i was going to suggest 
$$T=\frac{960}{R}$$ and solve 
$$(R+12)(\frac{960}{R}-4)=960$$

anonymous · Answer

probably the same either way

anonymous · Answer

@KaylaAnn!79 you got a preference?

anonymous · Answer

Not really but the second one looks promising

anonymous · Answer

k then we have to multiply all this mess out

anonymous · Answer

ok:)

anonymous · Answer

wanna cheat?

anonymous · Answer

anonymous · Answer

looks like the answer is $48$ but if you want we can do all the stupid algebra to get it