Distance, rate and time problems: head starts, meeting and wind or current

Answer Key - Grade 9 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

1. 1.

   Bo bikes at a steady 13 mph for 2.5 hours on a trail. How many miles does Bo ride?

   32.5 miles
2. 2.

   Esme walks a park loop at 3.2 mph for 1.5 hours, stopping only to admire a duck. How many miles does Esme walk?

   4.8 miles

3. Read this first

   Ratio table for two travelers (example trip)

   traveler	rate (mph)	time (hours)	distance (miles)
   Esme's bus	48	2.5	120
   Esme's bike ride	11	1.5	16.5

4. 3.

   Using Jun's table, how does the bus row show distance = rate × time?

   • 48 + 2.5 = 120
   • 48 × 2.5 = 120
   • 120 × 48 = 2.5
5. 4.

   Using the table, Luz compares the two parts of the trip. Which has the higher rate?

   • The bus
   • They tie
   • The bike ride
6. 5.

   Milo's family drives 90 miles in 2 hours. What is the average rate?

   • 45 mph
   • 92 mph
   • 180 mph
7. 6.

   Noah bikes 36 miles at 12 mph. How long does the ride take?

   • 24 hours
   • 3 hours
   • 432 hours
8. 7.

   Pia knows a train's rate and its travel time. Which formula gives the distance?

   • Distance = time ÷ rate
   • Distance = rate × time
   • Distance = rate ÷ time
9. 8.

   What does 60 mph mean for Ren's train?

   • 60 miles in each hour
   • 60 miles on the whole trip
   • 60 hours to go one mile
10. 9.

    Tala rides for 30 minutes at 10 mph. What time goes in the hours column?

    • 3
    • 30
    • 0.5
11. 10.

    Zee divides a distance in miles by a time in hours. What unit is the answer in?

    • Miles times hours
    • Miles per hour
    • Hours per mile