Question

math help ss below

Answer 1

This is a tricky word problem

We have a one mile long train
We have a tunnel of unknown length that we're trying to calculate

It takes 3 minutes
when the head of the train ENTERS the tunnel
to when the end of the train EXITS the tunnel

so when the head of the train enters the tunnel, since it's a mile long train that means the tail is 1 mile from the entrance of the tunnel

and then by the time it the end of the train reaches the end of the tunnel, it has travelled that one mile to reach the entrance and then the distance from the beginning of the tunnel to the end of the tunnel

Does that make sense so far?

Answer 2

So the total distance travelled in 3 minutes is how many miles the tunnel is + 1 mile of the train that's outside

tunnel distance + 1 mile

and it's moving at a speed of 60 mph

speed = distance / time

the speed is 60 miles/hour
distance is t + 1
time is 3 minutes so you'd want to convert that to hours

Answer 3

So it took 3 minutes from the beginning of the train at the front of the tunnel for the end of the train to reach the end of the tunnel

You can see how that distance is t + 1

Answer 4

well ok so the train travels 1 mile per second if
it took 3 mile for the train to reach the end and have its head pop out then the rest is 3 miles meaning the 1+t= 3 miles so t=2 meaning the tunnel is 2 miles long

Answer 5

60 miles per hour
60 miles per 60 minutes
1 mile per minute

not per second?

But yeah, you got the right answer

1 mile per minute = (t+1) miles / (3 mins)
3 miles = t + 1 miles

t = 2 miles