Question

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?

Answer 1

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 2

10 minutes 20 seconds

Explanation:

It is given that the flat head rail tunnel in Montana is about
`7(3)/(4)` miles long.

Length of rail tunnel =
`7(3)/(4)=(28+3)/(4)=(31)/(4)`

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

`Speed=(3)/(4)` miles

The formula for time is

`Time=(Distance)/(Speed)`

`Time=((31)/(4))/((3)/(4))`

`Time=(31)/(3)`

`Time=10(1)/(3)`

`(10(1)/(3))\text{ minutes}=10 \text{ minutes}+(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.