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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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motikmotik

Answer:

Adult Tickets: 173

Student Tickets: 43

Explanation:

  • To solve this problem, you'll need to set up a system of equations.
  • Assume a = # of adult tickets sold
  • Assume s = # of student tickets sold

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2: <<As the total number of tickets sold from both sides is equal to 216>>

1: <<Each adults ticket (a) costs $10.25 and each student ticket (s) costs $8, and the total amount of money earned (2117.25) from sales is the combination of these two))>>

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  • In this case, I'll elimnate a.

a + s = 216

10.25a + 8s = 2117.25

  • In order to elimnate a, it has to be equal to - 10.25 so that it cancels out + 10.25 (so you have to multiply everything on the first equation by 10.25 ((what you do to one part, you'll do to all the other parts)).

-10.25a -10.25s = -2214

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