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.

   Ari's school bus rolls along the highway at 52 mph for 3 hours on a field trip (with one sing-along). How many miles does it go?

   156 miles
2. 2.

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

   32.5 miles
3. 3.

   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

4. 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

5. 4.

   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
6. 5.

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

   • 16.5 miles
   • 12.5 miles
   • 7.3 miles
7. 6.

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

   • The bus
   • The bike ride
   • They tie
8. 7.

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

   • 180 mph
   • 45 mph
   • 92 mph
9. 8.

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

   • 3 hours
   • 24 hours
   • 432 hours
10. 9.

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

    • Distance = rate × time
    • Distance = rate ÷ time
    • Distance = time ÷ rate
11. 10.

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

    • 30
    • 3
    • 0.5