Distance Rate and Time Word Problems

The distance that an automobile travels varies directly as the time it travels. If the car travels 280 miles in 7 hours, how far will it travel in 12 hours?

• 480

• 1960

• 84

• 25

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 

A car travels 420 miles in 8 hours.  If the car continues at the same rate, how far will it travel in 12 hours?

• 630 miles

• 630 hours

• 600 miles

• 540 hours

TRAVEL Stacey flew an airplane for 2 hours at x miles per hour, and then she flew another 3 hours at (x + 25) miles per hour. The entire distance she flew was 1000 miles. Stacey flew at a rate of (a)   miles per hour for 2 hours and ​ (b)   miles per hour for 3 hours.

• 185

• 210

• 150

• 175

• 200

• 225

• 2 hours

• 2.5 hours

• 4 hours

• 4.5 hours

A cyclist covers a distance of 45 miles in 3 hours. What is the cyclist's average speed in miles per hour?

• 15 mph

• 10 mph

• 20 mph

• 12 mph

A car travels 300 miles using 10 gallons of gas. What is the car's fuel efficiency in miles per gallon?

• 20 miles/gallon

• 30 miles/gallon

• 10 miles/gallon

• 25 miles/gallon

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.

• 301.875 miles 

• 302.875 miles 

• 300.875 miles 

• 302.875 miles 

• 299.875 miles