After three hours, how far apart are two trains traveling in opposite directions at speeds of 55 mph and 70 mph?

After three hours, how far apart are two trains traveling in opposite directions at speeds of 55 mph and 70 mph?

• A. 210 miles
• B. 165 miles
• C. 125 miles
• D. 375 miles

Answer: (D)

To determine how far apart the two trains are after three hours of traveling in opposite directions, you need to calculate the distance each train covers in that time and then add those distances together. First, calculate the distance that each train travels: - The first train travels at a speed of 55 mph. In three hours, the distance it covers is calculated as follows: \[ \text{Distance} = \text{Speed} \times \text{Time} = 55 \, \text{mph} \times 3 \, \text{hours} = 165 \, \text{miles} \] - The second train is traveling at a speed of 70 mph. In the same three hours, the distance it covers is: \[ \text{Distance} = \text{Speed} \times \text{Time} = 70 \, \text{mph} \times 3 \, \text{hours} = 210 \, \text{miles} \] Next, add the distances covered by both trains to find out how far apart they are: \[ \text{Total Distance} = 165 \, \text{miles}

To determine how far apart the two trains are after three hours of traveling in opposite directions, you need to calculate the distance each train covers in that time and then add those distances together.

First, calculate the distance that each train travels:

• The first train travels at a speed of 55 mph. In three hours, the distance it covers is calculated as follows:

[

\text{Distance} = \text{Speed} \times \text{Time} = 55 , \text{mph} \times 3 , \text{hours} = 165 , \text{miles}

]

• The second train is traveling at a speed of 70 mph. In the same three hours, the distance it covers is:

[

\text{Distance} = \text{Speed} \times \text{Time} = 70 , \text{mph} \times 3 , \text{hours} = 210 , \text{miles}

]

Next, add the distances covered by both trains to find out how far apart they are:

[

\text{Total Distance} = 165 , \text{miles}