Let's solve each problem step by step using the formula triangle:
D = Distance, S = Speed, T = Time
The relationships are:
-
Speed (S) = Distance (D) ÷ Time (T)
-
Distance (D) = Speed (S) × Time (T)
-
Time (T) = Distance (D) ÷ Speed (S)
---
1. Calculate the speed for a car that went a distance of 125 kilometers in 2 hours time.
Given:
- Distance (D) = 125 km
- Time (T) = 2 hours
Formula:
Speed = Distance ÷ Time
= 125 km ÷ 2 h
=
62.5 km/h
✔ Car’s speed: 62.5 km/h
---
2. If Sarah swims at an average speed of 8 meters per second, how long will it take her to complete the race of 200 meters?
Given:
- Speed (S) = 8 m/s
- Distance (D) = 200 m
Formula:
Time = Distance ÷ Speed
= 200 m ÷ 8 m/s
=
25 seconds
✔ Sarah’s swim time: 25 seconds
---
3. An insect is crawling in a straight line at a speed of 12 cm/s. How far will the insect travel in 35 seconds?
Given:
- Speed (S) = 12 cm/s
- Time (T) = 35 s
Formula:
Distance = Speed × Time
= 12 cm/s × 35 s
=
420 cm
✔ Insect’s distance: 420 cm
---
4. A truck was detected exceeding the posted speed limit of 60 km/h. How many kilometers per hour would the truck have been traveling over the limit if it had covered a distance of 10 kilometers in 6 minutes?
Step 1: Convert time to hours
6 minutes = 6/60 = 0.1 hours
Given:
- Distance = 10 km
- Time = 0.1 hours
Calculate actual speed:
Speed = Distance ÷ Time
= 10 km ÷ 0.1 h
=
100 km/h
Excess speed = Actual speed – Speed limit
= 100 km/h – 60 km/h
=
40 km/h
✔ Truck’s excess speed: 40 km/h
---
5. It takes a baseball player 16 seconds to round the bases and make it back to home plate. If it is 360 feet to go around all the bases, then calculate the player’s average speed.
Given:
- Distance = 360 feet
- Time = 16 seconds
Formula:
Speed = Distance ÷ Time
= 360 ft ÷ 16 s
=
22.5 ft/s
✔ Player’s speed: 22.5 ft/s
---
6. Lindsay is late to class and is running down the hallway at a speed of 2 m/s. The length of the hallway is 150 meters. How long will it take her to run down the hallway?
Given:
- Speed = 2 m/s
- Distance = 150 m
Formula:
Time = Distance ÷ Speed
= 150 m ÷ 2 m/s
=
75 seconds
✔ Lindsay’s running time: 75 seconds
---
7. Abigail is riding her bike down the street at 15 m/s. If it takes her 60 seconds to get to the end of the street, then how long was the street?
Given:
- Speed = 15 m/s
- Time = 60 s
Formula:
Distance = Speed × Time
= 15 m/s × 60 s
=
900 meters
✔ Street’s length: 900 meters
---
✔ Final Answers:
1. Car’s speed:
62.5 km/h
2. Sarah’s swim time:
25 seconds
3. Insect’s distance:
420 cm
4. Truck’s excess speed:
40 km/h
5. Player’s speed:
22.5 ft/s
6. Lindsay’s running time:
75 seconds
7. Street’s length:
900 meters
Let me know if you'd like this formatted for printing or need help with units conversion!
Parent Tip: Review the logic above to help your child master the concept of speed worksheet middle school.
