Question

Two trains leave stations 294 miles apart at the same time and travel toward each other. One train travels at 95 miles per hour while the other travels at 115 miles per hourHow long will it take for the two trains to meet?

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Santino

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To find out how long it will take for the two trains to meet, we can use the formula:

\text{Time} = \frac{\text{Distance}}{\text{Speed}}

Let's denote the time it takes for the two trains to meet as t .

The first train travels at a speed of 95 miles per hour, so the distance it covers in time t is 95t miles.

Similarly, the second train travels at a speed of 115 miles per hour, so the distance it covers in time t is 115t miles.

Since the two trains are traveling towards each other, the total distance they cover in time t is the sum of the distances each train covers:

95t + 115t = 294

Combining like terms, we have:

210t = 294

To solve for t , we divide both sides of the equation by 210:

t = \frac{294}{210}

Reducing the fraction gives:

t = \frac{14}{10}

We can simplify this further by dividing both the numerator and denominator by 2:

t = \frac{7}{5}

Therefore, it will take the two trains \frac{7}{5} hours or 1 hour and 24 minutes to meet.

Answer: \frac{7}{5} hours or 1 hour and 24 minutes.

Let's denote the time it takes for the two trains to meet as

The first train travels at a speed of 95 miles per hour, so the distance it covers in time

Similarly, the second train travels at a speed of 115 miles per hour, so the distance it covers in time

Since the two trains are traveling towards each other, the total distance they cover in time

Combining like terms, we have:

To solve for

Reducing the fraction gives:

We can simplify this further by dividing both the numerator and denominator by 2:

Therefore, it will take the two trains

Answer:

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