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Pace worksheet

Grade 6 · CCSS 6.RP.A.3.b, 6.RP.A.3.d

Solve each problem and show your work. Round answers to 2 decimal places where needed.

1.
Problem 1.
- Solve for: Time
- Race distance: Enter a distance
- Distance: 4.4 miles
- Pace: minutes: 11 min
- Pace: seconds: 0 s per mile
Find: Finish time
Answer
2.
Problem 2.
- Solve for: Time
- Race distance: 10K (6.21 mi)
- Pace: minutes: 8 min
- Pace: seconds: 0 s per mile
Find: Finish time
Answer
3.
Problem 3.
- Solve for: Time
- Race distance: Enter a distance
- Distance: 3 miles
- Pace: minutes: 9 min
- Pace: seconds: 0 s per mile
Find: Finish time
Answer
4.
Problem 4.
- Solve for: Pace
- Race distance: 5K (3.11 mi)
- Time: hours: 0 h
- Time: minutes: 34 min
- Time: seconds: 0 s
- Show pace per: Kilometer
Find: Pace per kilometer
Answer
5.
Problem 5.
- Solve for: Distance
- Time: hours: 0 h
- Time: minutes: 28 min
- Time: seconds: 0 s
- Pace: minutes: 8 min
- Pace: seconds: 0 s per mile
Find: Distance
Answer
6.
Problem 6.
- Solve for: Time
- Race distance: Enter a distance
- Distance: 2.6 miles
- Pace: minutes: 12 min
- Pace: seconds: 0 s per mile
Find: Finish time
Answer
7.
Problem 7.
- Solve for: Pace
- Race distance: Half marathon (13.1 mi)
- Time: hours: 0 h
- Time: minutes: 45 min
- Time: seconds: 0 s
- Show pace per: Kilometer
Find: Pace per kilometer
Answer
8.
Problem 8.
- Solve for: Pace
- Race distance: Enter a distance
- Distance: 3.4 miles
- Time: hours: 0 h
- Time: minutes: 35 min
- Time: seconds: 0 s
- Show pace per: Kilometer
Find: Pace per kilometer
Answer
9.
Problem 9.
- Solve for: Distance
- Time: hours: 2 h
- Time: minutes: 24 min
- Time: seconds: 0 s
- Pace: minutes: 9 min
- Pace: seconds: 0 s per mile
Find: Distance
Answer
10.
Problem 10.
- Solve for: Distance
- Time: hours: 0 h
- Time: minutes: 30 min
- Time: seconds: 0 s
- Pace: minutes: 9 min
- Pace: seconds: 0 s per mile
Find: Distance
Answer

Answer key: Pace worksheet

1. Finish time: 0:48:24
1. Turn the pace into seconds per mile, so it's one number that's easy to work with
  $11 \times 60 + 0$ $= 660 s/mi$
2. Multiply the pace by the distance to get your total time. Then write it as hours, minutes and seconds
  $660 s/mi \times 4.4 mi$ $= 2,904 s$ $= 0:48:24$
3. Find your speed: the distance divided by the time in hours, as a treadmill shows it
  $\frac{4.4 mi}{0.806667 h}$ $= 5.45 mph$
2. Finish time: 0:49:43
1. Turn the pace into seconds per mile, so it's one number that's easy to work with
  $8 \times 60 + 0$ $= 480 s/mi$
2. A 10K is 10 km. Change the distance to miles so it matches the pace (1 mi = 1.609344 km exactly)
  $\frac{10 km}{1.609344}$ $= 6.2137 mi$
3. Multiply the pace by the distance to get your total time. Then write it as hours, minutes and seconds
  $480 s/mi \times 6.2137 mi$ $= 2,982.58 s$ $= 0:49:43$
4. Find your speed: the distance divided by the time in hours, as a treadmill shows it
  $\frac{6.2137 mi}{0.828495 h}$ $= 7.5 mph$
3. Finish time: 0:27:00
1. Turn the pace into seconds per mile, so it's one number that's easy to work with
  $9 \times 60 + 0$ $= 540 s/mi$
2. Multiply the pace by the distance to get your total time. Then write it as hours, minutes and seconds
  $540 s/mi \times 3 mi$ $= 1,620 s$ $= 0:27:00$
3. Find your speed: the distance divided by the time in hours, as a treadmill shows it
  $\frac{3 mi}{0.45 h}$ $= 6.67 mph$
4. Pace per kilometer: 6:48 /km
1. Turn the time into seconds, so it's one number that's easy to divide
  $0 \times 3,600 + 34 \times 60 + 0$ $= 2,040 s$
2. A 5K is 5 km
  $5 km$
3. Divide the time by the distance to get the seconds for each kilometer. Then write it as minutes and seconds (408 s = 6 min 48 s)
  $\frac{2,040 s}{5 km}$ $= 408 s/km$ $= 6:48 /km$
4. Find your speed: the distance divided by the time in hours, as a treadmill shows it
  $\frac{3.1069 mi}{0.566667 h}$ $= 5.48 mph$
5. Distance: 3.5 mi
1. Turn the time into seconds, so it's one number that's easy to divide
  $0 \times 3,600 + 28 \times 60 + 0$ $= 1,680 s$
2. Turn the pace into seconds per mile, so it's one number that's easy to work with
  $8 \times 60 + 0$ $= 480 s/mi$
3. Divide the total time by the time each mile takes. That tells you how many miles you covered
  $\frac{1,680 s}{480 s/mi}$ $= 3.5 mi$
4. Find your speed: the distance divided by the time in hours, as a treadmill shows it
  $\frac{3.5 mi}{0.466667 h}$ $= 7.5 mph$
6. Finish time: 0:31:12
1. Turn the pace into seconds per mile, so it's one number that's easy to work with
  $12 \times 60 + 0$ $= 720 s/mi$
2. Multiply the pace by the distance to get your total time. Then write it as hours, minutes and seconds
  $720 s/mi \times 2.6 mi$ $= 1,872 s$ $= 0:31:12$
3. Find your speed: the distance divided by the time in hours, as a treadmill shows it
  $\frac{2.6 mi}{0.52 h}$ $= 5 mph$
7. Pace per kilometer: 2:08 /km
1. Turn the time into seconds, so it's one number that's easy to divide
  $0 \times 3,600 + 45 \times 60 + 0$ $= 2,700 s$
2. A half marathon is 21.0975 km
  $21.0975 km$
3. Divide the time by the distance to get the seconds for each kilometer. Then write it as minutes and seconds (127.98 s = 2 min 8 s)
  $\frac{2,700 s}{21.0975 km}$ $= 127.98 s/km$ $= 2:08 /km$
4. Find your speed: the distance divided by the time in hours, as a treadmill shows it
  $\frac{13.1094 mi}{0.75 h}$ $= 17.48 mph$
8. Pace per kilometer: 6:24 /km
1. Turn the time into seconds, so it's one number that's easy to divide
  $0 \times 3,600 + 35 \times 60 + 0$ $= 2,100 s$
2. Change the distance to kilometers so it matches the pace (1 mi = 1.609344 km exactly)
  $3.4 mi \times 1.609344$ $= 5.4718 km$
3. Divide the time by the distance to get the seconds for each kilometer. Then write it as minutes and seconds (383.79 s = 6 min 24 s)
  $\frac{2,100 s}{5.4718 km}$ $= 383.79 s/km$ $= 6:24 /km$
4. Find your speed: the distance divided by the time in hours, as a treadmill shows it
  $\frac{3.4 mi}{0.583333 h}$ $= 5.83 mph$
9. Distance: 16 mi
1. Turn the time into seconds, so it's one number that's easy to divide
  $2 \times 3,600 + 24 \times 60 + 0$ $= 8,640 s$
2. Turn the pace into seconds per mile, so it's one number that's easy to work with
  $9 \times 60 + 0$ $= 540 s/mi$
3. Divide the total time by the time each mile takes. That tells you how many miles you covered
  $\frac{8,640 s}{540 s/mi}$ $= 16 mi$
4. Find your speed: the distance divided by the time in hours, as a treadmill shows it
  $\frac{16 mi}{2.4 h}$ $= 6.67 mph$
10. Distance: 3.33 mi
1. Turn the time into seconds, so it's one number that's easy to divide
  $0 \times 3,600 + 30 \times 60 + 0$ $= 1,800 s$
2. Turn the pace into seconds per mile, so it's one number that's easy to work with
  $9 \times 60 + 0$ $= 540 s/mi$
3. Divide the total time by the time each mile takes. That tells you how many miles you covered
  $\frac{1,800 s}{540 s/mi}$ $= 3.333333 mi$
4. Find your speed: the distance divided by the time in hours, as a treadmill shows it
  $\frac{3.3333 mi}{0.5 h}$ $= 6.67 mph$