Question 134562
Well, first in order to have a word problem, you must
be able to state it in some language that the average
person speaking that language can understand.
Your problem is:
"It takes a plane 40min to fly from Boston to Los Angeles at 525mi/h than it does to return at 600mi/h. How far apart are the cities?"
The first sentence is not something I can understand, but I'll take
a guess at what you mean.
Speed from Boston to LA = 525 mi/hr
Let {{{d}}}= distance from Boston to LA
I'll assume it takes 40 min longer to fly Boston to LA
than it takes to fly LA to Boston.
{{{d = 525*(t + 40/60)}}}
{{{d = 600*t}}}
{{{600t = 525*(t + 40/60)}}}
{{{600t = 525t + 350}}}
{{{75t = 350}}}
{{{t = 13/3}}}hrs
{{{d = 600*t}}}
{{{d = 2800}}}mi
The distance between Boston and LA is 28000 mi
This checks pretty good with the driving distance
between them, which is 3020 mi