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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Answer to a math 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?
Santino
4.578 Answers
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 95t
Similarly, the second train travels at a speed of 115 miles per hour, so the distance it covers in time t 115t
Since the two trains are traveling towards each other, the total distance they cover in time t
95t + 115t = 294
Combining like terms, we have:
210t = 294
To solve for t
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}
Answer: \frac{7}{5}
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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