Distance, Rate, and Time Sample Problems

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These sample problems below for Distance, Rate, and Time were generated by the MathScore.com engine.

Sample Problems For Distance, Rate, and Time

Complexity=1, Mode=rate

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

1. If you have gone 70 meters in 1 hour, how fast were you
going in meters/hour?

2. If you have gone 40 miles in 1 minute, how fast were you
going in miles/minute?

Complexity=2, Mode=dist

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

1. If you have gone 20 kilometers/hour for 3 hours, how far
have you gone in kilometers?

2. If you have gone 50 millimeters/second for 3 seconds, how
far have you gone in millimeters?

Complexity=3, Mode=time

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

1. If you have gone 30 meters at 30 meters/second, how much
time has elapsed in seconds?

2. If you have gone 60 yards at 20 yards/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 150 feet in 3 hours, how fast were you
going in feet/hour?

2. If you have gone 120 yards at 30 yards/hour, how much time
has elapsed in hours?

Complexity=8, Mode=mixed

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

1. If you have gone 700 miles at 100 miles/hour, how much time
has elapsed in hours?

2. If you have gone 80 kilometers in 1 minute, how fast were
you going in kilometers/minute?

Complexity=9, Mode=dist

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

1. If you have gone 20 meters/minute for 5 hours, how far
have you gone in meters?

2. If you have gone 70 meters/minute for 6 hours, how far
have you gone in meters?

Complexity=10, Mode=time

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

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

2. If you have gone 0.568 miles at 100 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 4224000 yards in 1 minute, how fast were
you going in miles/second?

2. If you have gone 8 inches at 40 feet/minute, how much time
has elapsed in seconds?

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 70 meters in 1 hour, how fast were you going in meters/hour?
Solution Rate = Distance ÷ Time = (70 m) ÷ (1 hr) = 70 m/hr

#	Problem	Correct Answer	Your Answer
2	If you have gone 40 miles in 1 minute, how fast were you going in miles/minute?
Solution Rate = Distance ÷ Time = (40 mi) ÷ (1 min) = 40 mi/min

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 20 kilometers/hour for 3 hours, how far have you gone in kilometers?
Solution Distance = Rate × Time = 20 km/hr × 3 hr = 60 km

#	Problem	Correct Answer	Your Answer
2	If you have gone 50 millimeters/second for 3 seconds, how far have you gone in millimeters?
Solution Distance = Rate × Time = 50 mm/s × 3 s = 150 mm

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 30 meters at 30 meters/second, how much time has elapsed in seconds?
Solution Time = Distance ÷ Rate = (30 m) ÷ (30 m/s) = 1 s

#	Problem	Correct Answer	Your Answer
2	If you have gone 60 yards at 20 yards/hour, how much time has elapsed in hours?
Solution Time = Distance ÷ Rate = (60 yd) ÷ (20 yd/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 150 feet in 3 hours, how fast were you going in feet/hour?
Solution Rate = Distance ÷ Time = (150 ft) ÷ (3 hr) = 50 ft/hr

#	Problem	Correct Answer	Your Answer
2	If you have gone 120 yards at 30 yards/hour, how much time has elapsed in hours?
Solution Time = Distance ÷ Rate = (120 yd) ÷ (30 yd/hr) = 4 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 700 miles at 100 miles/hour, how much time has elapsed in hours?
Solution Time = Distance ÷ Rate = (700 mi) ÷ (100 mi/hr) = 7 hr

#	Problem	Correct Answer	Your Answer
2	If you have gone 80 kilometers in 1 minute, how fast were you going in kilometers/minute?
Solution Rate = Distance ÷ Time = (80 km) ÷ (1 min) = 80 km/min

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 meters/minute for 5 hours, how far have you gone in meters?
Solution Distance = Rate × Time = 20 m/min × 60min/hr × 5 hr = 6000 m

#	Problem	Correct Answer	Your Answer
2	If you have gone 70 meters/minute for 6 hours, how far have you gone in meters?
Solution Distance = Rate × Time = 70 m/min × 60min/hr × 6 hr = 25200 m

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 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

#	Problem	Correct Answer	Your Answer
2	If you have gone 0.568 miles at 100 yards/minute, how much time has elapsed in minutes?
Solution Time = Distance ÷ Rate = (0.568 mi × 1760yd/mi) ÷ (100 yd/min) = 10 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 4224000 yards in 1 minute, how fast were you going in miles/second?
Solution Rate = Distance ÷ Time = (4224000 yd × 1 mi/1760yd) ÷ (1 min × 60s/min) = 40 mi/s

#	Problem	Correct Answer	Your Answer
2	If you have gone 8 inches at 40 feet/minute, how much time has elapsed in seconds?
Solution Time = Distance ÷ Rate = (8 in × 1 ft/12in) ÷ (40 ft/min × 1 min/60s) = 1 s

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