Thread: lenght of train?

A train traveling at 30 miles per hour reaches a tunnel which is 9 times as long as the train. If the train takes 2 minutes to completely clear the tunnel ,how long is the train?(1 mile=5280 feet)

Hello, frigidmars!

Did you make a sketch?

A train traveling at 30 mph reaches a tunnel which is 9 times as long as the train.
If the train takes 2 minutes to completely clear the tunnel, how long is the train?

Code:

      : - L - : - - - - -9L - - - - - : - L - :
      *-------*-----------------------*-------*
      | Train |        Tunnel         | Train |
      *-------*-----------------------*-------*
              A - - - - - - 10L - - - - - - - B

The length of the train is feet.
The length of the tunnel is feet.
. . The train is moving from left to right.

The train enters the tunnel with its front at
When the train is clear of the tunnel, its front is at
. . It has traveled feet.

Its speed is: .30 miles/hour = 2640 feet/minute.

Using: . , we have: .

. . Hence: .

Therefore, the train is 528 feet long.