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?
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 \(7\frac{3}{4}\) miles long.
Length of rail tunnel = \(7\frac{3}{4}=\frac{28+3}{4}=\frac{31}{4}\)
A train travels at a speed of 3/4 miles per minute.
\(Speed=\frac{3}{4}\) miles
The formula for time is
\(Time=\frac{Distance}{Speed}\)
\(Time=\frac{\frac{31}{4}}{\frac{3}{4}}\)
\(Time=\frac{31}{3}\)
\(Time=10\frac{1}{3}\)
\((10\frac{1}{3})\text{ minutes}=10 \text{ minutes}+\frac{1}{3}\text{ minutes}=10 \text{ minutes}+20\text{ seconds}\)
Therefore, the time taken by the train to go through the tunnel is 10 minutes 20 seconds.