Two trains leaves stations 320miles apart at the same time and travel toward eachother. one train travels at 110 miles per hour while the other travels at 90miles per hour. how long will it take for the two trains to meet.

x/110 = (320-x)/90

 Cross multiply

90x = 35200-110x

200x=35200

X = 35200/200 = 176 (distance traveled by train going 110 mph

176/110 = 1.6 hours = 1 hour and 36 minutes

Check: 110*1.6 = 176, 90*1.6 = 144

176+144 = 320

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus