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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 :
where represents distance traveled in kilometers and
is the time in hours.
To find the unit rate of Train A, we will plugin and get the distance traveled by Train A in 1 hour which will be the unit rate of Train A in km/hr.
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.
So
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 =
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
For this case we must simplify the following expression:
So, solving the first parentheses we have:
We have to:
We add similar terms taking into account that different signs are subtracted and the sign of the major is placed:
Finally, the simplified expression is:
ANswer:
Answer:
See attached graph
Step-by-step explanation:
