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erica [24]
3 years ago
13

On the scale model, the distance between the wheels on the left and the wheels on the right is 1 1/4 inches. The state of Wyormi

ng has old railroad tracks that are 4.5 feet apart. Can the modern train travel on those tracks? Explain your reasoning.
Mathematics
1 answer:
avanturin [10]3 years ago
8 0

Answer:

No, modern train cannot travel on old railroad.

Step-by-step explanation:

In rail transport, track gauge is the spacing of the rails on a railway track and is measured between the inner faces of the load-bearing rails.

Most of the modern train are based on broad gauge. The separation in broad gauge is about 5 ft and 6 inches and in the standard gauge the separation between the tracks is 4 ft and 8\frac{1}{2} inches. So for the modern train it is not possible to travel on the tracks whose separation is no more than 4.5 feet.

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Just put the options in the inequalities and check if they are true or not :

A ) ( - 1 , 0 )

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- 2 \leqslant 3 \:  \:  \: kinda \: true

And

x - y <  - 3

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- 1 <  - 3 \:  \:  \: false

Thus A is wrong

_____________________________________________

B ) ( - 1 , - 1 )

2( - 1) + ( - 1) \leqslant 3

- 2 - 1 \leqslant 3

- 3 \leqslant  3 \:  \: kinda \: true

And

- 1 - ( - 1)  <  - 3

- 1 + 1<  - 3

0 <  - 3 \:  \:  \: false

Thus B is wrong

_____________________________________________

C ) ( - 2 , 4 )

2( - 2) + 4 \leqslant   3

- 4 + 4 \leqslant  3

0 \leqslant  3 \:  \: kinda \: true

And

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Thus C is the correct option

_____________________________________________

U can do D urself ...

Have a great day ♡

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