<PRE><B>Question 307705</B>
The speed of train A is 6 mph slower than the speed of train B.
 Train A travels 210 miles in the same time it takes train B to travel 240 miles.
 Find the speed of each.
:
Let s = speed of train A
then
(x+6) = speed of train B
:
Write a time equation: time = dist/speed
:
Train A time = train B time
{{{210/s}}} = {{{240/((s+6))}}}
Cross multiply
240s = 210(s+6)
240s = 210s + 1260
240s - 210s = 1260
30s = 1260
s = {{{1260/30}}}
s = 42 mph of train A
and obviously
42 + 6 = 48 mph is train B
:
:
Check solution by finding the time of each train
240/48 = 5 hrs
210/42 = 5 hrs, confirms our solutions</PRE>