Homework Help: Algebra

Posted by Chelsea on Tuesday, December 13, 2011 at 4:50pm.

Speed of passenger train is 6mph faster than the freight train. The passenger train travels 260 miles at the same time the freight train travels 230 mph. WHAT would be the speed of both the passenger and freight trains?????

Algebra - Reiny, Tuesday, December 13, 2011 at 5:42pm
speed of freight --- x mph
speed of passenger --- x+6 mph

time to go 230 by freight = 230/x
time to go 260 by pass = 260/(x+6)
but they are equal, so
230/x = 260/(x+6)
260x = 230x + 1380
30x = 1380
x = 46

speed of freight is 46 mph , and the passenger train is 52 mph

check: 230/52 = 1/5 hrs
230/46 = 1/5 hr
all is good

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