Question

The distance Train A travels is represented by d = 80t, 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 rate of each train? Which train is going faster?
Time (hours) Distance (km)
2
190
4
380
5
475
The rate of Train A is 160|
km per hour.
The rate of Train Bis
km per hour.
Train (select)
is going faster.

Answer 1

Train B is going faster than Train A

Explanation:

The distance travelled by Train A, d = 80t

The distance travelled by Train B is given as follows;

Time (hours)
`{}` Distance (km)

2
`{}` 190

4
`{}` 380

5
`{}` 475

Therefore, we have that the rate of change of Train B is given as follows;

(475 - 380)/(5 - 4) = 95 km/h

(475 - 190)/(5 - 2) = 95 km/h

The rate of change of Train B = 95 km/h

While the distance covered by Train A per 1 hour, t = 1 is given as follows

Distance covered in 1 hour for Train A, d = 80 × 1 = 80 kilometers

The rate of train A = Distance covered/(Time in which the distance was covered)

The rate of train of change A = 80 km/(1 hour) = 80 km/hour

The rate of train of change A = 80 km/h

Therefore, Train B is going faster than Train A.