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.