Math Practice Problems - Distance, Rate, and Time

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=1, Mode=rate

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

1. If you have gone 90 feet in 3 hours, how fast were you
going in feet/hour?

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

Complexity=2, Mode=dist

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

1. If you have gone 100 inches/second for 3 seconds, how far
have you gone in inches?

2. If you have gone 40 feet/second for 2 seconds, how far
have you gone in feet?

Complexity=3, Mode=time

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

1. If you have gone 60 yards at 60 yards/hour, how much time
has elapsed in hours?

2. If you have gone 240 meters at 80 meters/hour, how much
time has elapsed in hours?

Complexity=4, Mode=mixed

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

1. If you have gone 60 inches/second for 2 seconds, how far
have you gone in inches?

2. If you have gone 140 millimeters in 2 hours, how fast were
you going in millimeters/hour?

Complexity=8, Mode=mixed

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

1. If you have gone 200 inches in 2 minutes, how fast were you
going in inches/minute?

2. If you have gone 400 kilometers at 50 kilometers/hour, how
much time has elapsed in hours?

Complexity=9, Mode=dist

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

1. If you have gone 40 millimeters/minute for 4 hours, how far
have you gone in millimeters?

2. If you have gone 100 inches/minute for 6 hours, how far
have you gone in inches?

Complexity=10, Mode=time

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

1. If you have gone 6000 millimeters at 60 centimeters/minute,
how much time has elapsed in minutes?

2. If you have gone 600 feet at 50 yards/minute, how much time
has elapsed in minutes?

Complexity=11, Mode=mixed

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

1. If you have gone 7.5 feet in 3 minutes, how fast were you
going in yards/hour?

2. If you have gone 12 inches at 10 feet/hour, how much time
has elapsed in minutes?

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 90 feet in 3 hours, how fast were you going in feet/hour?
Solution Rate = Distance ÷ Time = (90 ft) ÷ (3 hr) = 30 ft/hr

#	Problem	Correct Answer	Your Answer
2	If you have gone 10 yards in 1 hour, how fast were you going in yards/hour?
Solution Rate = Distance ÷ Time = (10 yd) ÷ (1 hr) = 10 yd/hr

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 inches/second for 3 seconds, how far have you gone in inches?
Solution Distance = Rate × Time = 100 in/s × 3 s = 300 in

#	Problem	Correct Answer	Your Answer
2	If you have gone 40 feet/second for 2 seconds, how far have you gone in feet?
Solution Distance = Rate × Time = 40 ft/s × 2 s = 80 ft

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 60 yards at 60 yards/hour, how much time has elapsed in hours?
Solution Time = Distance ÷ Rate = (60 yd) ÷ (60 yd/hr) = 1 hr

#	Problem	Correct Answer	Your Answer
2	If you have gone 240 meters at 80 meters/hour, how much time has elapsed in hours?
Solution Time = Distance ÷ Rate = (240 m) ÷ (80 m/hr) = 3 hr

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 60 inches/second for 2 seconds, how far have you gone in inches?
Solution Distance = Rate × Time = 60 in/s × 2 s = 120 in

#	Problem	Correct Answer	Your Answer
2	If you have gone 140 millimeters in 2 hours, how fast were you going in millimeters/hour?
Solution Rate = Distance ÷ Time = (140 mm) ÷ (2 hr) = 70 mm/hr

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 200 inches in 2 minutes, how fast were you going in inches/minute?
Solution Rate = Distance ÷ Time = (200 in) ÷ (2 min) = 100 in/min

#	Problem	Correct Answer	Your Answer
2	If you have gone 400 kilometers at 50 kilometers/hour, how much time has elapsed in hours?
Solution Time = Distance ÷ Rate = (400 km) ÷ (50 km/hr) = 8 hr

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 40 millimeters/minute for 4 hours, how far have you gone in millimeters?
Solution Distance = Rate × Time = 40 mm/min × 60min/hr × 4 hr = 9600 mm

#	Problem	Correct Answer	Your Answer
2	If you have gone 100 inches/minute for 6 hours, how far have you gone in inches?
Solution Distance = Rate × Time = 100 in/min × 60min/hr × 6 hr = 36000 in

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 6000 millimeters at 60 centimeters/minute, how much time has elapsed in minutes?
Solution Time = Distance ÷ Rate = (6000 mm × 1 cm/10mm) ÷ (60 cm/min) = 10 min

#	Problem	Correct Answer	Your Answer
2	If you have gone 600 feet at 50 yards/minute, how much time has elapsed in minutes?
Solution Time = Distance ÷ Rate = (600 ft × 1 yd/3ft) ÷ (50 yd/min) = 4 min

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 7.5 feet in 3 minutes, how fast were you going in yards/hour?
Solution Rate = Distance ÷ Time = (7.5 ft × 1 yd/3ft) ÷ (3 min × 1 hr/60min) = 50 yd/hr

#	Problem	Correct Answer	Your Answer
2	If you have gone 12 inches at 10 feet/hour, how much time has elapsed in minutes?
Solution Time = Distance ÷ Rate = (12 in × 1 ft/12in) ÷ (10 ft/hr × 1 hr/60min) = 6 min

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