the flat head rail tunnel in Montana is about 7 3/4 miles long. A train travels at a speed of 3/4 miles per minute. How long Will it take the train to go through the tunnel?

Respuesta :

Just divide 7 3/4 by 3/4. Turn 7 3/4 into a improper fraction which will be 31/4, and then divide by 3/4. The answer is 31/3 as an improper fraction and as a proper fraction the answer is 10 1/3

Answer:

10 minutes 20 seconds

Step-by-step explanation:

It is given that the flat head rail tunnel in Montana is about [tex]7\frac{3}{4}[/tex] miles long.

Length of rail tunnel = [tex]7\frac{3}{4}=\frac{28+3}{4}=\frac{31}{4}[/tex]

A train travels at a speed of 3/4 miles per minute.

[tex]Speed=\frac{3}{4}[/tex] miles

The formula for time is

[tex]Time=\frac{Distance}{Speed}[/tex]

[tex]Time=\frac{\frac{31}{4}}{\frac{3}{4}}[/tex]

[tex]Time=\frac{31}{3}[/tex]

[tex]Time=10\frac{1}{3}[/tex]

[tex](10\frac{1}{3})\text{ minutes}=10 \text{ minutes}+\frac{1}{3}\text{ minutes}=10 \text{ minutes}+20\text{ seconds}[/tex]

Therefore, the time taken by the train to go through the tunnel is 10 minutes 20 seconds.

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