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?

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

   Using the table of Esme's trip, Kira checks the bike ride. How far is it?

   • 12.5 miles
   • 16.5 miles
   • 7.3 miles
6. 5.

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

   • The bike ride
   • The bus
   • They tie
7. 6.

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

   • 45 mph
   • 180 mph
   • 92 mph
8. 7.

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

   • 3 hours
   • 432 hours
   • 24 hours
9. 8.

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

   • Distance = rate ÷ time
   • Distance = time ÷ rate
   • Distance = rate × time
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
    • Hours per mile
    • Miles per hour