Answer:
Train A's unit rate is 70 km per hour.
Train B's unit rate is 75 km per hour.
Train B is faster.
Step-by-step explanation:
Train A:
Distance traveled by train A is given as, [tex]d=70t[/tex]
Where, [tex]t[/tex] is time in hours and [tex]d[/tex] is distance in kilometers.
Unit rate for train A is the distance traveled by it in 1 hour.
For t hours, distance traveled by train A = [tex]70t[/tex]
∴ For, 1 hour, distance traveled by train A = [tex]\frac{70t}{t}=70[/tex] km per hour.
Therefore, unit rate for train A is 70 km/h.
Train B:
From the table,
Distance traveled in 2 hours = 150 km
∴ Distance traveled in 1 hour = [tex]\frac{150}{2}=75[/tex] km per hour.
Therefore, unit rate for train B is 75 km/h.
Speed is distance traveled per unit time.
Therefore, unit rate is nothing but speed of train.
As unit rate of train B is greater than that of train A, speed of train B is greater and thus faster.
