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)
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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?
Quote:
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 isfeet.
The length of the tunnel isfeet.
. . 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 traveledfeet.
Its speed is: .30 miles/hour = 2640 feet/minute.
Using: ., we have: .
. . Hence: .
Therefore, the train is 528 feet long.