165k views
4 votes
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.

User Realn
by
7.9k points

1 Answer

1 vote

Answer:

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.

User Laander
by
8.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories