<PRE><B>Question 424302</B>
the speed of train a is 6 mph slower than the speed of train b.
Train A travels 200 miles in the same time it takes train b to travel 230 miles.
What is the speed of each train?
:
Let s = speed of the slower train (a)
then
(s+6) = speed of the faster train (b)
:
Write time equation; time = dist/speed
:
Fast train time = slow train time
{{{230/((s+6))}}} = {{{200/s}}}
Cross multiply
230s = 200(s+6)
230s = 200s + 1200
230s - 200s = 1200
30s = 1200
s = {{{1200/30}}}
s = 40 mph is the speed of a, the slower train
then
40 + 6 = 46 mph is the speed of b
:
:
You can confirm this by finding the travel time of each train, should be equal</PRE>