Calculating Average Speed, Distance and Time Worksheet for 9th ... - Free Printable

Problem Analysis:

The worksheet focuses on calculating average speed, distance, and time using the formula:

\[
\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}
\]

This formula can be rearranged to solve for any of the three variables if the other two are known:
1. \(\text{Distance} = \text{Speed} \times \text{Time}\)
2. \(\text{Time} = \frac{\text{Distance}}{\text{Speed}}\)

We will solve each question step by step.

---

Question 1: Calculate the average speed at which a car traveled 360 km in 4 hours.

#### Solution:
Using the formula:
\[
\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}
\]
Substitute the given values:
\[
\text{Average Speed} = \frac{360 \, \text{km}}{4 \, \text{hours}} = 90 \, \text{km/h}
\]

#### Answer:
\[
\boxed{90 \, \text{km/h}}
\]

---

Question 2: How long did it take a person to travel a distance of 180 km at an average speed of 60 km/h?

#### Solution:
Using the formula:
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\]
Substitute the given values:
\[
\text{Time} = \frac{180 \, \text{km}}{60 \, \text{km/h}} = 3 \, \text{hours}
\]

#### Answer:
\[
\boxed{3 \, \text{hours}}
\]

---

Question 3: How far would a train travel in 5 hours at an average speed of 72 km/h?

#### Solution:
Using the formula:
\[
\text{Distance} = \text{Speed} \times \text{Time}
\]
Substitute the given values:
\[
\text{Distance} = 72 \, \text{km/h} \times 5 \, \text{hours} = 360 \, \text{km}
\]

#### Answer:
\[
\boxed{360 \, \text{km}}
\]

---

Question 4: Mahima ran the 100-meter race in 12 seconds. What was her average speed?

#### Solution:
Using the formula:
\[
\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}
\]
Substitute the given values:
\[
\text{Average Speed} = \frac{100 \, \text{m}}{12 \, \text{s}} \approx 8.33 \, \text{m/s}
\]

#### Answer:
\[
\boxed{8.33 \, \text{m/s}}
\]

---

Question 5: If Shikha walked at an average speed of 5 km/h, what distance did she cover in 3 hours?

#### Solution:
Using the formula:
\[
\text{Distance} = \text{Speed} \times \text{Time}
\]
Substitute the given values:
\[
\text{Distance} = 5 \, \text{km/h} \times 3 \, \text{hours} = 15 \, \text{km}
\]

#### Answer:
\[
\boxed{15 \, \text{km}}
\]

---

Question 6: How much time did it take a plane flying at 770 km/h to travel a distance of 1700 km?

#### Solution:
Using the formula:
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\]
Substitute the given values:
\[
\text{Time} = \frac{1700 \, \text{km}}{770 \, \text{km/h}} \approx 2.21 \, \text{hours}
\]

#### Answer:
\[
\boxed{2.21 \, \text{hours}}
\]

---

Final Answers:

1. \(\boxed{90 \, \text{km/h}}\)
2. \(\boxed{3 \, \text{hours}}\)
3. \(\boxed{360 \, \text{km}}\)
4. \(\boxed{8.33 \, \text{m/s}}\)
5. \(\boxed{15 \, \text{km}}\)
6. \(\boxed{2.21 \, \text{hours}}\)