Math Practice Problems - Distance, Rate, and Time

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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.

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Complexity=2, Mode=dist

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

Complexity=3, Mode=time

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

Complexity=4, Mode=mixed

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

Complexity=8, Mode=mixed

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

Complexity=9, Mode=dist

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

Complexity=10, Mode=time

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

Complexity=11, Mode=mixed

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

Answers

Complexity=1, Mode=rate

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

#	Problem	Correct Answer	Your Answer
1	If 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

#	Problem	Correct Answer	Your Answer
2	If 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.

#	Problem	Correct Answer	Your Answer
1	If 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

#	Problem	Correct Answer	Your Answer
2	If 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.

#	Problem	Correct Answer	Your Answer
1	If 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

#	Problem	Correct Answer	Your Answer
2	If 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.

#	Problem	Correct Answer	Your Answer
1	If 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

#	Problem	Correct Answer	Your Answer
2	If 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.

#	Problem	Correct Answer	Your Answer
1	If 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

#	Problem	Correct Answer	Your Answer
2	If 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.

#	Problem	Correct Answer	Your Answer
1	If 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

#	Problem	Correct Answer	Your Answer
2	If 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.

#	Problem	Correct Answer	Your Answer
1	If 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

#	Problem	Correct Answer	Your Answer
2	If 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.

#	Problem	Correct Answer	Your Answer
1	If 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

#	Problem	Correct Answer	Your Answer
2	If you have gone 250 centimeters in 3 minutes, how fast were you going in meters/hour?
Solution Rate = Distance ÷ Time = (250 cm × 1 m/100cm) ÷ (3 min × 1 hr/60min) = 50 m/hr

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