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The distance Train A travels is represented by d=70t,where d is the distance in kilometers and t is the time in hours.The distance Train B travels at various times is shown in the table.What is the unit rate of each train? Which train is going faster

Table

Time (hours) Distance(km)
2 150
4 300
5 375

Respuesta :

Answer:

Train B is going faster

Step-by-step explanation:

The distance Train A travels is represented by [tex]d=70t[/tex]

where d is the distance in kilometers and t is the time in hours

The speed of train A is 70 kilometer per hour

To find speed of train B use the table

find out slope

[tex]\frac{y_2-y_1}{x_2-x_1} =\frac{300-150}{4-2} =75[/tex]

The speed of train B is 75 km per hour

The speed of the train B is more

Train B is going faster

Answer:

Unit rate of Train A is [tex]70km/hr.[/tex]

Unit rate of Train B is [tex]75km/hr.[/tex]

Train B is going faster.

Step-by-step explanation:

Given information

The distance Train A travels is represented by

[tex]d=70t[/tex]

Now, to find unit rate of Train A

Consider, [tex]t=1[/tex]

So, unit rate of Train A

[tex]= 70*1\\=70 km/hr.\\[/tex]

Similarly , according to the given table the distance traveled by Train B in 2 hour that means from 2 to 4 is:

[tex]=300-150\\=150[/tex]

So, the unit rate of Train B will be

[tex]=150/2\\\\=75 km/hr.[/tex]

That means Train B travels 75 [tex]km.[/tex] in 1 hour, which is higher than the unit rate of Train A.

So, Train B is going faster.

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