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## Distance, Rate, and Time - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

See some of our other supported math practice problems.

### Complexity=1, Mode=rate

Solve. Round to hundredths if need be. Remember to label your answers.

 1.   If you have gone 10 millimeters in 1 hour, how fast were you going in millimeters/hour? 2.   If you have gone 70 yards in 1 second, how fast were you going in yards/second?

### Complexity=2, Mode=dist

Solve. Round to hundredths if need be. Remember to label your answers.

 1.   If you have gone 100 yards/minute for 1 minute, how far have you gone in yards? 2.   If you have gone 70 kilometers/minute for 1 minute, how far have you gone in kilometers?

### Complexity=3, Mode=time

Solve. Round to hundredths if need be. Remember to label your answers.

 1.   If you have gone 100 feet at 100 feet/hour, how much time has elapsed in hours? 2.   If you have gone 20 millimeters at 20 millimeters/second, how much time has elapsed in seconds?

### Complexity=4, Mode=mixed

Solve. Round to hundredths if need be. Remember to label your answers.

 1.   If you have gone 30 yards at 10 yards/minute, how much time has elapsed in minutes? 2.   If you have gone 200 millimeters in 4 minutes, how fast were you going in millimeters/minute?

### Complexity=8, Mode=mixed

Solve. Round to hundredths if need be. Remember to label your answers.

 1.   If you have gone 300 inches in 6 minutes, how fast were you going in inches/minute? 2.   If you have gone 60 inches at 30 inches/second, how much time has elapsed in seconds?

### Complexity=9, Mode=dist

Solve. Round to hundredths if need be. Remember to label your answers.

 1.   If you have gone 20 feet/minute for 6 hours, how far have you gone in feet? 2.   If you have gone 40 millimeters/hour for 1 minute, how far have you gone in millimeters?

### Complexity=10, Mode=time

Solve. Round to hundredths if need be. Remember to label your answers.

 1.   If you have gone 210 yards at 70 feet/hour, how much time has elapsed in hours? 2.   If you have gone 1200 inches at 20 feet/hour, how much time has elapsed in hours?

### Complexity=11, Mode=mixed

Solve. Round to hundredths if need be. Remember to label your answers.

 1.   If you have gone 20 feet/second for 4 minutes, how far have you gone in inches? 2.   If you have gone 250 centimeters in 3 minutes, how fast were you going in meters/hour?

### Complexity=1, Mode=rate

Solve. Round to hundredths if need be. Remember to label your answers.

1If you have gone 10 millimeters in 1 hour, how fast were
you going in millimeters/hour?
Solution
Rate = Distance ÷ Time
= (10 mm) ÷ (1 hr) = 10 mm/hr
2If you have gone 70 yards in 1 second, how fast were you
going in yards/second?
Solution
Rate = Distance ÷ Time
= (70 yd) ÷ (1 s) = 70 yd/s

### Complexity=2, Mode=dist

Solve. Round to hundredths if need be. Remember to label your answers.

1If you have gone 100 yards/minute for 1 minute, how far
have you gone in yards?
Solution
Distance = Rate × Time
= 100 yd/min × 1 min = 100 yd
2If you have gone 70 kilometers/minute for 1 minute, how far
have you gone in kilometers?
Solution
Distance = Rate × Time
= 70 km/min × 1 min = 70 km

### Complexity=3, Mode=time

Solve. Round to hundredths if need be. Remember to label your answers.

1If you have gone 100 feet at 100 feet/hour, how much time
has elapsed in hours?
Solution
Time = Distance ÷ Rate
= (100 ft) ÷ (100 ft/hr) = 1 hr
2If you have gone 20 millimeters at 20 millimeters/second,
how much time has elapsed in seconds?
Solution
Time = Distance ÷ Rate
= (20 mm) ÷ (20 mm/s) = 1 s

### Complexity=4, Mode=mixed

Solve. Round to hundredths if need be. Remember to label your answers.

1If you have gone 30 yards at 10 yards/minute, how much time
has elapsed in minutes?
Solution
Time = Distance ÷ Rate
= (30 yd) ÷ (10 yd/min) = 3 min
2If you have gone 200 millimeters in 4 minutes, how fast
were you going in millimeters/minute?
Solution
Rate = Distance ÷ Time
= (200 mm) ÷ (4 min) = 50 mm/min

### Complexity=8, Mode=mixed

Solve. Round to hundredths if need be. Remember to label your answers.

1If you have gone 300 inches in 6 minutes, how fast were you
going in inches/minute?
Solution
Rate = Distance ÷ Time
= (300 in) ÷ (6 min) = 50 in/min
2If you have gone 60 inches at 30 inches/second, how much
time has elapsed in seconds?
Solution
Time = Distance ÷ Rate
= (60 in) ÷ (30 in/s) = 2 s

### Complexity=9, Mode=dist

Solve. Round to hundredths if need be. Remember to label your answers.

1If you have gone 20 feet/minute for 6 hours, how far have
you gone in feet?
Solution
Distance = Rate × Time
= 20 ft/min × 60min/hr × 6 hr = 7200 ft
2If you have gone 40 millimeters/hour for 1 minute, how far
have you gone in millimeters?
Solution
Distance = Rate × Time
= 40 mm/hr × 1 hr/60min × 1 min = 0.67 mm

### Complexity=10, Mode=time

Solve. Round to hundredths if need be. Remember to label your answers.

1If you have gone 210 yards at 70 feet/hour, how much time
has elapsed in hours?
Solution
Time = Distance ÷ Rate
= (210 yd × 3ft/yd) ÷ (70 ft/hr) = 9 hr
2If you have gone 1200 inches at 20 feet/hour, how much time
has elapsed in hours?
Solution
Time = Distance ÷ Rate
= (1200 in × 1 ft/12in) ÷ (20 ft/hr) = 5 hr

### Complexity=11, Mode=mixed

Solve. Round to hundredths if need be. Remember to label your answers.

1If you have gone 20 feet/second for 4 minutes, how far
have you gone in inches?
Solution
Distance = Rate × Time
= 20 ft/s × 60s/min × 4 min × 12in/ft = 57600 in