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lesya692 [45]
3 years ago
11

Two trains leave stations 546 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 hour. How long will it take for the two trains to meet?
Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
6 0

<u>Answer:</u>

It will take 2 hours 36 minutes for the two trains to meet.

<u>Step-by-step explanation:</u>

The distance between the two trains is decreasing by 95+115= 210miles per hour, which can be written as \frac{210 miles}{1 hour}.

So at this rate, the distance between the trains will be reduced to zero in:

\frac{546 miles}{\frac{210 miles}{1 hour} } = 476 miles * \frac{1 hour}{210 miles}

= \frac{546}{210} = 2.6 hours

Changing 2.6 hours to hours and minutes:

2 hours + 0.6 hours = 2 hours + (0.6 * 60) = 2 hours + 36 minutes

Therefore, it will take 2 hours 36 minutes for the two trains to meet.

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