Question

1l) HAO WENT TO A HOBBY SHOP AND SAW A DISPLAY OF TOY TRAINS. THE SIGN IN FRONT OF

THE DISPLAY SAID THAT THE TOY TRAINS WERE A REPLICA OF THE LONG ISLAND RAILROAD
TRAINS. HAO ESTIMATED THAT ONE OF THE RAILROAD CARS WAS APPROXIMATELY 15
INCHES LONG AND 4 INCHES WIDE. THE SIGN IN FRONT OF THE DISPLAY STATED
"SCALE- 2 /9".
WHAT IS THE LENGTH OF THE RAILROAD CAR ON HE LONG ISLAND RAILROAD?
WHAT IS THE WIDTH OF THE LONG ISLAND RAILROAD CAR?

Answer 1

Length =
`57.5\ \text{inches}`

Width =
`18\ \text{inches}`

Explanation:

The scale of the toy train is
`(2)/(9)`

So, the dimensions of the toy train is
`(2)/(9)` times the actual dimensions of the train.

The dimensions of actual train is
`(1)/((2)/(9))=(9)/(2)` times the toy train's dimensions.

Length

`15* (9)/(2)=57.5\ \text{inches}`

Width

`4* (9)/(2)=18\ \text{inches}`

The length of the railroad car on the long island railroad is 57.5 inches.

The width of the railroad car on the long island railroad is 18 inches.