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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

Verified Answer :

Answer:

Train B is going faster

Step-by-step explanation:

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 speed of train A is 70 kilometer per hour

To find speed of train B use the table

find out slope

\(\frac{y_2-y_1}{x_2-x_1} =\frac{300-150}{4-2} =75\)

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 \(70km/hr.\)

Unit rate of Train B is \(75km/hr.\)

Train B is going faster.

Step-by-step explanation:

Given information

The distance Train A travels is represented by

\(d=70t\)

Now, to find unit rate of Train A

Consider, \(t=1\)

So, unit rate of Train A

\(= 70*1\\=70 km/hr.\\\)

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

\(=300-150\\=150\)

So, the unit rate of Train B will be

\(=150/2\\\\=75 km/hr.\)

That means Train B travels 75 \(km.\) in 1 hour, which is higher than the unit rate of Train A.

So, Train B is going faster.

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