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Speed, Distance and Time worksheet

Grades 6–7 · CCSS 6.RP.A.3.b

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

1.
Problem 1.
- Solve for: Distance
- Average speed: 60 mph
- Time: hours: 3
- Time: minutes: 35
Find: Distance
Answer
2.
Problem 2.
- Solve for: Distance
- Average speed: 48 mph
- Time: hours: 3
- Time: minutes: 26
Find: Distance
Answer
3.
Problem 3.
- Solve for: Travel time
- Distance: 200 miles
- Average speed: 55 mph
- Departure time: 13:57
Find: Travel time
Answer
4.
Problem 4.
- Solve for: Travel time
- Distance: 190 miles
- Average speed: 55 mph
- Departure time: 05:16
Find: Travel time
Answer
5.
Problem 5.
- Solve for: Travel time
- Distance: 210 miles
- Average speed: 74 mph
- Departure time: 10:46
Find: Travel time
Answer
6.
Problem 6.
- Solve for: Average speed
- Distance: 300 miles
- Time: hours: 3
- Time: minutes: 32
Find: Average speed
Answer
7.
Problem 7.
- Solve for: Average speed
- Distance: 230 miles
- Time: hours: 3
- Time: minutes: 28
Find: Average speed
Answer
8.
Problem 8.
- Solve for: Distance
- Average speed: 66 mph
- Time: hours: 3
- Time: minutes: 28
Find: Distance
Answer
9.
Problem 9.
- Solve for: Travel time
- Distance: 140 miles
- Average speed: 55 mph
- Departure time: 06:07
Find: Travel time
Answer
10.
Problem 10.
- Solve for: Average speed
- Distance: 275 miles
- Time: hours: 2
- Time: minutes: 35
Find: Average speed
Answer

Answer key: Speed, Distance and Time worksheet

1. Distance: 215 miles
1. Turn the minutes into a fraction of an hour
  $3 + \frac{35}{60}$ $= 3.583333 h$
2. Multiply your speed by the hours spent moving to get the distance
  $60 mph \times 3.583333 h$ $= 215 mi$
2. Distance: 164.8 miles
1. Turn the minutes into a fraction of an hour
  $3 + \frac{26}{60}$ $= 3.433333 h$
2. Multiply your speed by the hours spent moving to get the distance
  $48 mph \times 3.433333 h$ $= 164.8 mi$
3. Travel time: 3 h 38 min 11 s
1. Divide the distance by your speed to see how many hours it takes
  $\frac{200 mi}{55 mph}$ $= 3.636364 h$
2. Turn the hours into hours and minutes. The part after the decimal point times 60 gives the minutes
  $3.636364 h$ $= 3 h 38 min 11 s$
3. Add the travel time to the departure time
  $1:57 PM + 3 h 38 min 11 s$ $= 5:35:11 PM$
4. Travel time: 3 h 27 min 16 s
1. Divide the distance by your speed to see how many hours it takes
  $\frac{190 mi}{55 mph}$ $= 3.454545 h$
2. Turn the hours into hours and minutes. The part after the decimal point times 60 gives the minutes
  $3.454545 h$ $= 3 h 27 min 16 s$
3. Add the travel time to the departure time
  $5:16 AM + 3 h 27 min 16 s$ $= 8:43:16 AM$
5. Travel time: 2 h 50 min 16 s
1. Divide the distance by your speed to see how many hours it takes
  $\frac{210 mi}{74 mph}$ $= 2.837838 h$
2. Turn the hours into hours and minutes. The part after the decimal point times 60 gives the minutes
  $2.837838 h$ $= 2 h 50 min 16 s$
3. Add the travel time to the departure time
  $10:46 AM + 2 h 50 min 16 s$ $= 1:36:16 PM$
6. Average speed: 84.91 mph
1. Turn the minutes into a fraction of an hour
  $3 + \frac{32}{60}$ $= 3.533333 h$
2. Divide the distance by the hours it took to get your average speed
  $\frac{300 mi}{3.533333 h}$ $= 84.90566 mph$
7. Average speed: 66.35 mph
1. Turn the minutes into a fraction of an hour
  $3 + \frac{28}{60}$ $= 3.466667 h$
2. Divide the distance by the hours it took to get your average speed
  $\frac{230 mi}{3.466667 h}$ $= 66.346154 mph$
8. Distance: 228.8 miles
1. Turn the minutes into a fraction of an hour
  $3 + \frac{28}{60}$ $= 3.466667 h$
2. Multiply your speed by the hours spent moving to get the distance
  $66 mph \times 3.466667 h$ $= 228.8 mi$
9. Travel time: 2 h 32 min 44 s
1. Divide the distance by your speed to see how many hours it takes
  $\frac{140 mi}{55 mph}$ $= 2.545455 h$
2. Turn the hours into hours and minutes. The part after the decimal point times 60 gives the minutes
  $2.545455 h$ $= 2 h 32 min 44 s$
3. Add the travel time to the departure time
  $6:07 AM + 2 h 32 min 44 s$ $= 8:39:44 AM$
10. Average speed: 106.45 mph
1. Turn the minutes into a fraction of an hour
  $2 + \frac{35}{60}$ $= 2.583333 h$
2. Divide the distance by the hours it took to get your average speed
  $\frac{275 mi}{2.583333 h}$ $= 106.451613 mph$