Question

Two trains leave stations 442 miles apart at the same time and travel toward each other. one train travels at 90 miles per hour while the other travels at 80 miles per hour. how long will it take for the two trains to meet? do not do any rounding.

Answer 1

Let x and (442-x) represent the distance of the trains traveled. X/90 mph=442-x/80 mph
Cross multiply 80×x =90(442-x)
80x=90×442-90x
170x=90×442
X= 90×442/170
X=234, distance traveled by train going 90mph
234mi/90mph = 2.6 hr, time it takes for the two trains tok meet.
Checking your answer:
90×2.6+80×2.6=234mi+208mi = 442mi