How To Solve Speed Distance Time Questions For Class 5 With Step By Step Solutions
Riya used to come home late after school, cycling at a slower speed, while her friend Diya came home early as she was cycling faster than Riya. Speed refers to how fast something is moving or capable of moving.
In mathematics, speed is measured as the distance travelled/travelled per unit of time. The distance travelled is in kilometres, and the time is in hours, so the unit of measurement for speed is "km" per "hour" or km/h.
Speed in Speedometer
Table of Units in Common Use for Speed
Here, we will see the different terms regarding speed, distance, and time. Also, the abbreviation has been added to make it more readable.
Units used for Speed and their Abbreviations
Solved Example Problems on Speed Distance and Time
Let’s see the speed, distance, and time formula and some solved questions based on it.
Type 1: Formula for Speed = $\dfrac{\text{Distance (in unit of length)}}{\text{Time (in unit of time)}}$
Example 1: A car covers a distance of $224 \mathrm{~km}$ between Goa and Mumbai in 4 hours. Find its average speed.
Ans: Average Speed $=$ $\dfrac{\text{Total distance covered}}{\text{Total time taken }}$
$\dfrac{224\,Km}{4\,hr}=56\,Km/hr$
Therefore, its average speed is 56 km/hr.
Example 2: The train's speed is $108 \mathrm{~km} / \mathrm{h}$. Find its speed in metres per second.
Ans:
$ 1 \mathrm{~km}=1000m$
$\text { Speed }=108\left(\frac{\mathrm{Km}}{\mathrm{Hr}}\right)$
Also, we know that 1 minute $=60$ seconds
Therefore, that's 1 hour. $=60 \times 60=3600$ seconds
By using the above stats, we get
$=108\left(\dfrac{1000 \mathrm{~m}}{3600 \mathrm{~s}}\right)$
$=30\left(\dfrac{\mathrm{m}}{\mathrm{s}}\right)$
Therefore, its speed is $=30\left(\dfrac{\mathrm{m}}{\mathrm{s}}\right)$.
Example 3: Latvija covers the first 120 km in 2 hours and the next 180 km in 4 hours. What is his average speed over the entire journey in km/h?
Ans: Total distance travelled = 120 + 180 = 300 km.
Total time taken = 2 + 4 = 6 hours.
Average speed = $\dfrac{\text{Total distance travelled}}{\text{Total time spent}}$
$=\dfrac{300}{6}=50 \mathrm{~km} / \mathrm{h}$
Type 2: Speed and Distance Formula
Average speed = Total distance travelled / Total time spent
Solved Examples based on Distance and Time:
Example 1: Using the average speed formula, find the average speed of Sam, who covers the first 200 kilometres in 4 hours and the next 160 kilometres in another 4 hours.
Ans: To find the average speed, we need the total distance and the total time.
Total distance covered by Sam = 200 Km + 160 km = 360 km
Total time taken by Sam = 4 hour + 4 hour = 8 hour
Average Speed = $\dfrac{\text{Total distance covered}} {\text{Total time taken}}$
Average Speed = $\dfrac{360}{8}$
= 45 km/hr
Therefore, their average speed of Sam is 45lm/hr.
Example 2: A cyclist rides at $10 \mathrm{~km} / \mathrm{h}$ for 2 hours then at $13 \mathrm{~km} / \mathrm{h}$ for 1 hour. Find its average speed.
Ans:
Distance travelled in the first 2 hours $=10 \times 2=20 \mathrm{~km}$
Distance travelled in the next hour $=13 \times 1=13 \mathrm{~km}$
Total distance travelled $=20+13=33 \mathrm{~km}$
Total time spent $=2+1=3 h r s$
Average speed $=$ $\dfrac{\text{Total distance travelled}}{\text{Total time spent }}$
$=\dfrac{33}{3}=11 \mathrm{~km} / \mathrm{hr}$
Type 3. Average Speed - If the Travel Time is the Same.
Speed Distance Time problems: In this type of problem, the travel time is always the same.
Example 1: A motorist drives for one hour at an average speed of 45 km/h, and for the next hour at an average speed of 65 km/h. What is your average speed?
Ans: $\dfrac{(45 + 65)}{2}=55 \mathrm{~km} / \mathrm{hr}$
The total distance covered by the car driver in these two hours was $65+45=110 \mathrm{~km}$, and it took two hours.
Therefore your average speed $=55 \mathrm{~km} / \mathrm{h}$.
Example 2: Radha can type 960 letters in 20 mins.
Calculate her typing speed in the:
(a) Words per min.
(b) Words per hour.
Ans:
Words per min. $=\dfrac{960}{20}$
$=48$ words per minute
Words per hour. $=48 \times 60$
$=2880$ words per hour.
Type 4. Average speed: If the distance covered is the same:
Speed Distance Problems: In this type of problem, the distance covered is always the same.
Example: On the way from the hospital to the Pimpri department, I drive at 30 km/h and back at 45 km/h. What is my average travel speed?
Ans: 37.5 km/h is inappropriate as the time travel is different in both cases, and only the distances are the same. Let the distance between the hospital and the Pimpri ward be x km.
The time spent on the outward journey $=\dfrac{x}{30}$ hour and the time spent on the return journey $=\dfrac{x}{45}$
$\therefore$ Total round trip time $=\dfrac{x}{30}+\dfrac{x}{45}$ $=\dfrac{5 x}{90}$ hours.
Total distance travelled in both directions $=2 \times x \mathrm{km}$
$\therefore$ Average speed $\dfrac{2x}{\dfrac{5x}{90}}=36 \mathrm{kmph}$
Practice Questions
Let’s see some of the speed distance time questions for Class 5:
Q 1 An aeroplane covers a certain distance in 5 hours at a speed of 240 km/h. To travel the same distance in 1 hour, at what speed must he travel:
Ans: 720 km/hr.
Q 2. How many minutes for the bus per hour? Excluding stops, the speed of a bus is 54 km/h, and including stops, it is 45 km/h.
Ans: 10 min.
Q 3. Determine the time it takes when the distance is 7150 km, and the speed is 780 km/h.
Ans: 9.16 hr
Summary
Speed tells us how fast something or someone is travelling. You can find the average speed of an object if you know the distance travelled and the time it took. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In mathematics, speed is measured as the distance travelled per unit of time.
The distance travelled is in kilometres, and the time is in hours, so the unit of measurement for speed is "km" per "hour" or km/h. If the distance is in metres and the time is in minutes, then the speed is 'm' for 'minute' or m/min. You can also read this offline. Just download the speed distance time questions for Class 5 PDF from our website.
FAQs on Speed Distance Time Questions For Class 5 With Formula And Examples
1. What is speed in maths for Class 5?
Speed is the distance travelled in one unit of time. In simple terms, it tells us how fast something is moving.
- Speed = Distance ÷ Time
- If a car travels 60 km in 2 hours, its speed = 60 ÷ 2 = 30 km/h.
- Common units of speed are km/h and m/s.
2. What is the formula for speed, distance and time?
The three main formulas are Speed = Distance ÷ Time, Distance = Speed × Time, and Time = Distance ÷ Speed.
- These formulas are interrelated.
- If any two values are known, the third can be found.
- Example: If speed = 40 km/h and time = 3 hours, distance = 40 × 3 = 120 km.
3. How do you calculate distance when speed and time are given?
Distance is calculated using the formula Distance = Speed × Time.
- Step 1: Write the given speed.
- Step 2: Write the given time.
- Step 3: Multiply both values.
4. How do you find time when distance and speed are given?
Time is found using the formula Time = Distance ÷ Speed.
- Divide the total distance by the speed.
- Make sure the units are the same.
5. What are the common units of speed?
The most common units of speed are kilometres per hour (km/h) and metres per second (m/s).
- km/h is used for vehicles like cars and buses.
- m/s is used in science and physics problems.
- Always keep distance and time units consistent while solving questions.
6. Can you give an example of a speed distance time word problem for Class 5?
A simple example is: A train travels 90 km in 3 hours; find its speed.
- Use the formula: Speed = Distance ÷ Time.
- Speed = 90 ÷ 3 = 30 km/h.
7. What is the relationship between speed, distance and time?
Speed, distance, and time are related by the formula Speed = Distance ÷ Time.
- If speed increases, distance covered in the same time increases.
- If time increases at constant speed, distance increases.
- If distance is fixed, increasing speed reduces time.
8. How do you solve speed distance time problems step by step?
To solve speed distance time problems, first identify what is given and then apply the correct formula.
- Step 1: Read the question carefully.
- Step 2: Note the known values (speed, distance, or time).
- Step 3: Choose the correct formula.
- Step 4: Substitute the values and calculate.
- Step 5: Write the final answer with correct units.
9. What are common mistakes in speed distance time questions?
The most common mistakes are using the wrong formula and ignoring units.
- Mixing up formulas like writing Speed = Time ÷ Distance.
- Not converting minutes into hours when needed.
- Forgetting to write the correct unit such as km/h.
10. How do you convert minutes into hours in speed distance time problems?
To convert minutes into hours, divide the number of minutes by 60.
- Formula: Hours = Minutes ÷ 60.
- Example: 30 minutes = 30 ÷ 60 = 0.5 hours.
- This conversion is necessary when speed is given in km/h.
