Answer:
1.8 hours.
Step-by-step explanation:
It is important to note that:
Speed = Distance ÷ Time
We have two trains.
Step 1
We have to find the distance that each train travelled.
Since Speed = Distance ÷ Time
Distance = Speed × Time
First train
It travels at 105 miles per hour
Distance travelled by first train =
105 × x hours
= 105x miles
Second Train
It travels at 85 miles per hour
Distance travelled by the second train = 85 miles × x hours
= 85x miles
We are told that: the two trains leave stations 342 miles apart at the same time and travel toward each other
Hence, the time it would take each train to meet each other is calculated as:
105x + 85x = 342 miles
190x = 342 miles
x = 342/190
x = 1.8 hours.
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Simplified: 
Restrictions: x CANNOT be 0 because then the denominator would become 0 and would not be possible
