Two trains leave stations 494 miles apart at the same time and travel toward each other. one train travels at 100 miles per hour while the other travels at 90
miles per hour. how long will it take for the two trains to meet? do not do any rounding.

The trains will meet after 2.6 hours.

Step-by-step explanation:

Add up the distances traveled by the two trains:

distance1 = (100 mph)(t hours)

distance2 = (90 mph)(t hours)

Sum of distance1 and distance2 = 494 miles = (190 mph)(t hours)

Solving for t, we get   t = 494 miles / 190 mph  = 2.6 hours

The trains will meet after 2.6 hours.

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)

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step-by-step explanation: