Distance, Rate, Time Equations

What does the equation d=rt represent?

• The equation d=rt represents the relationship between distance and rate.

• The equation d=rt represents the relationship between distance and time.

• The equation d=rt represents the relationship between rate and time.

• The equation d=rt represents the relationship between distance, rate, and time.

Answer explanation

The equation d=rt represents the relationship between distance, rate, and time.

If the distance (d) is 100 meters and the time (t) is 5 seconds, what is the value of the rate (r)?

• 100 meters per second

• 50 meters per second

• 20 meters per second

• 10 meters per second

Answer explanation

The rate (r) is calculated by dividing the distance (d) by the time (t). In this case, the rate is 20 meters per second, as 100 meters divided by 5 seconds equals 20.

If the rate (r) is 10 meters per second and the time (t) is 8 seconds, what is the value of the distance (d)?

• 80

• 18

• 64

• 40

Answer explanation

The distance (d) can be calculated by multiplying the rate (r) and the time (t). In this case, 10 meters per second multiplied by 8 seconds equals 80 meters. Therefore, the correct choice is 80.

If the distance (d) is 500 meters and the rate (r) is 50 meters per second, what is the value of the time (t)?

• 25

• 15

• 10

• 5

Answer explanation

The time (t) can be calculated by dividing the distance (d) by the rate (r). Therefore, the value of the time (t) is 10 seconds, which corresponds to the correct answer choice.

Solve the equation d=rt for distance (d) when the rate (r) is 20 meters per second and the time (t) is 10 seconds.

• 200

• 400

• 100

• 50

Answer explanation

To find the distance (d), multiply the rate (r) by the time (t). In this case, 20 meters per second multiplied by 10 seconds equals 200 meters. Therefore, the correct choice is 200.

Solve the equation d=rt for rate (r) when the distance (d) is 300 meters and the time (t) is 15 seconds.

• 10 meters per second

• 15 meters per second

• 25 meters per second

• 20 meters per second

Answer explanation

To solve the equation d=rt for rate (r), divide the distance (d) by the time (t). In this case, 300 meters divided by 15 seconds equals 20 meters per second. Therefore, the correct choice is 20 meters per second.

Solve the equation d=rt for time (t) when the distance (d) is 400 meters and the rate (r) is 50 meters per second.

• 12

• 10

• 8

• 15

Answer explanation

To solve the equation d=rt for time (t), divide the distance (d) by the rate (r). In this case, 400/50 = 8. Therefore, the correct choice is 8.

A car travels at a constant rate of 60 kilometers per hour. How far will it travel in 3 hours?

• 120 kilometers

• 180 kilometers

• 90 kilometers

• 240 kilometers

Answer explanation

The car travels at a constant rate of 60 kilometers per hour. In 3 hours, it will travel 180 kilometers, which is the correct choice.

A cyclist rides at a speed of 15 kilometers per hour. How long will it take to travel a distance of 75 kilometers?

• 10 hours

• 2 hours

• 5 hours

• 3 hours

Answer explanation

The cyclist rides at a speed of 15 kilometers per hour. To travel a distance of 75 kilometers, it will take 5 hours. Therefore, the correct answer is 5 hours.

A train travels a distance of 500 kilometers in 5 hours. What is its average speed?

• 50 kilometers per hour

• 200 kilometers per hour

• 100 kilometers per hour

• 10 kilometers per hour

Answer explanation

The average speed of the train is calculated by dividing the total distance traveled (500 kilometers) by the total time taken (5 hours). Therefore, the average speed is 100 kilometers per hour, which is the correct choice.