Answer:
They will meet in 1.8 hours.
Step-by-step explanation:
Given that, distance between trains = 306 miles
Let they take time [tex]'t'[/tex] to meet each other.
Speed of first train = 90 mph
Speed of second train = 80 mph
Let distance traveled by first train = [tex]D_1[/tex] miles
Formula for distance:
[tex]Distance = Speed \times Time[/tex]
Distance traveled by first train, [tex]D_1 = 90t[/tex]
Let distance traveled by first train = [tex]D_2[/tex] miles
Formula for distance:
[tex]Distance = Speed \times Time[/tex]
Distance traveled by first train, [tex]D_2 = 80t[/tex]
Total distance traveled is 306 miles.
i.e.
[tex]D_1+D_2=306\\\Rightarrow 90t +80t=306\\\Rightarrow 170t=306\\\Rightarrow t =\dfrac{306}{170}\\\Rightarrow \bold{t=1.8\ hr}[/tex]
They will meet in 1.8 hours.
