Solving Distance Problems

If a train travels 1,600 km in 16 hours, how fast is it moving?

• 60 km/hr

• 100 km/hr

• 120 km/hr

• 90 km/hr

A crosstown bus travels 8 kilometers in 45 minutes. What is its average rate of speed?

• 4 km/hr

• 6.67 km/hr

• 8 km/hr

• 10.67 km/hr

Which of the following steps is important in solving distance, rate, and time problems?

• Working quickly.

• Doing the whole problem in your head.

• Drawing diagrams.

• Memorizing the average speeds of different trains.

Fairview and Rockville are 104 km from each other. How far apart would the cities be on a map that has a scale of 1 cm : 13 km?

• 7 cm 

• 1352 cm 

• 8 cm 

• 4 cm 

Find the distance between Johnstown and Georgetown if they are 9 in apart on a map with a scale of 3 in : 11 mi.

• 121 mi

• 28 mi 

• 33 mi 

• 26 mi 

Find the distance between Johnstown and Madison on a map with a scale of 2 in : 4 mi if they are actually 12 mi apart.

• 3 in 

• 24 in 

• 6 in 

• 5 in 

Find the distance between (-3, 4) and (-3, -8)

• 4 units

• 12 units

• 8 units

• 13 units

Find the distance.

• 7.1

• 7.8

• 8.7

• 8.9

What is the distance between points (-7, 8) and (2, 8)?

• 4 units

• 5 units

• 3 units

• 9 units

Heidi helped build a slide at a local park. The ladder is 6 feet high, and the slide is 7 feet long. Approximately how far is the bottom of the ladder from the bottom of the slide?

• 3.6 feet

• 9.2 feet

• 13 feet

• 6.5 feet