Two trains leave stations 216 miles apart at the same time and travel toward each other. one train travels at 95 miles per hour while the other travels at 85 miles per hour how long will it take for two trains to meet? Do not round the answer
80t + 100t = 216
180t = 216
t = 216/180 = 1.2hr , How long will it take for the two trains to meet
V1*T + V2*T = 216
95T + 85T = 216.
T =
Oh, the joy of train math! Let me calculate this for you.
If one train is traveling at 95 miles per hour and the other at 85 miles per hour, the total speed at which they are approaching each other is 95 + 85 = 180 miles per hour.
To find the time it takes for the two trains to meet, we divide the distance between them (216 miles) by their combined speed (180 miles per hour):
216 / 180 = 1.2 hours
So, it will take 1.2 hours, or 1 hour and 12 minutes, for the two trains to meet. Don't worry, they won't miss their coffee break!
To find out how long it will take for the two trains to meet, we can use the formula:
Distance = Speed x Time
Since both trains are traveling towards each other, we can add up their speeds to get the effective speed at which they are closing the distance:
Combined Speed = 95 mph + 85 mph = 180 mph
Now we can substitute the values into the formula:
216 miles = 180 mph x Time
To find Time, we can rearrange the equation:
Time = Distance / Speed
Time = 216 miles / 180 mph
Simplifying the equation:
Time = 1.2 hours
Therefore, it will take 1.2 hours for the two trains to meet.
To find out how long it will take for the two trains to meet, we can use the formula:
Time = Distance / Speed
Let's calculate the time for each train separately.
Train 1:
Distance = 216 miles
Speed = 95 miles per hour
Time taken by Train 1 = Distance / Speed = 216 miles / 95 miles per hour
Train 2:
Distance = 216 miles
Speed = 85 miles per hour
Time taken by Train 2 = Distance / Speed = 216 miles / 85 miles per hour
Now, since both trains are traveling towards each other, we need to find the total time. We can do this by adding the times taken by each train.
Total Time = Time taken by Train 1 + Time taken by Train 2
Now, let's substitute the values and calculate:
Total Time = (216 miles / 95 miles per hour) + (216 miles / 85 miles per hour)
We do not need to round our answer, so we can keep it as it is.