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stich3 [128]
3 years ago
12

The distance Train A travels is represented by d = 67t, where d is the distance in kilometers and t is the time in hours. The di

stance Train B travels at various times is shown in the table. What is the unit rate of each train? Which train is going faster?
Time (hours) Distance (km)

2 150

4 300

5 375


Train A's unit rate is--------- km per hour.


Train B's unit rate is---------- km per hour.


which Train is faster?
Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
3 0

Answer:

Train A's unit rate is 67 km per hour.

Train B's unit rate is 75 km per hour.

Train B is faster than Train A

Step-by-step explanation:

Train A

Distance traveled by Train A is represented by :

d=67t

where d represents distance traveled in kilometers and t is the time in hours.

To find the unit rate of Train A, we will plugin t=1 and get the distance traveled by Train A in 1 hour which will be the unit rate of Train A in km/hr.

d=67(1)

d=67

So, distance traveled by Train A in 1 hour = 67 km

∴ Train A's unit rate is 67 km per hour.

Train B

For Train B, we are given the table for the time in hours and distance traveled in that duration.

Taking time =2 hours the distance traveled by Train B= 75 km

To find distance traveled in 1 hour we apply unitary method.

2\ hr = 150\ km

So 1\ hr = \frac{150}{2}\ km = 75\ km

So, distance traveled by Train B in 1 hour = 75 km

∴ Train B's unit rate is 75 km per hour.

Difference in units rates = 75-67=8\ km/hr

On comparing their unit rate i.e. the speed of the trains we find out that Train B is faster than Train A by 8 km/hr

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