Time, Speed & Distance worksheet with five math word problems.

To solve the problems related to Time, Speed, and Distance, we will use the fundamental formula:

\[
\text{Distance} = \text{Speed} \times \text{Time}
\]

This formula can be rearranged as needed:
- To find Speed: \( \text{Speed} = \frac{\text{Distance}}{\text{Time}} \)
- To find Time: \( \text{Time} = \frac{\text{Distance}}{\text{Speed}} \)

Let's solve each problem step by step.

---

Problem 1:

How far will a train travel in 4 hours if it is moving at an average speed of 30 miles per hour?

#### Solution:
We are given:
- Speed = 30 miles per hour
- Time = 4 hours

Using the formula:
\[
\text{Distance} = \text{Speed} \times \text{Time}
\]
\[
\text{Distance} = 30 \, \text{miles/hour} \times 4 \, \text{hours} = 120 \, \text{miles}
\]

#### Answer:
\[
\boxed{120 \, \text{miles}}
\]

---

Problem 2:

Janellie drove from West Falls to Pickered in 3 hours. If she averaged 65 kilometers per hour, how far is it from West Falls to Pickered?

#### Solution:
We are given:
- Speed = 65 kilometers per hour
- Time = 3 hours

Using the formula:
\[
\text{Distance} = \text{Speed} \times \text{Time}
\]
\[
\text{Distance} = 65 \, \text{km/hour} \times 3 \, \text{hours} = 195 \, \text{kilometers}
\]

#### Answer:
\[
\boxed{195 \, \text{kilometers}}
\]

---

Problem 3:

How long will it take a komodo dragon running at 6 meters per second to run 204 meters?

#### Solution:
We are given:
- Speed = 6 meters per second
- Distance = 204 meters

Using the formula:
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\]
\[
\text{Time} = \frac{204 \, \text{meters}}{6 \, \text{meters/second}} = 34 \, \text{seconds}
\]

#### Answer:
\[
\boxed{34 \, \text{seconds}}
\]

---

Problem 4:

An airplane flies 1240 kilometers in 2 hours at cruising speed. What is its average cruising speed?

#### Solution:
We are given:
- Distance = 1240 kilometers
- Time = 2 hours

Using the formula:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]
\[
\text{Speed} = \frac{1240 \, \text{kilometers}}{2 \, \text{hours}} = 620 \, \text{kilometers per hour}
\]

#### Answer:
\[
\boxed{620 \, \text{kilometers per hour}}
\]

---

Problem 5:

A conveyor belt can move materials a distance of 54 meters in 18 seconds. How fast does the conveyor move?

#### Solution:
We are given:
- Distance = 54 meters
- Time = 18 seconds

Using the formula:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]
\[
\text{Speed} = \frac{54 \, \text{meters}}{18 \, \text{seconds}} = 3 \, \text{meters per second}
\]

#### Answer:
\[
\boxed{3 \, \text{meters per second}}
\]

---

Problem 6:

How long will it take a bus moving at an average speed of 71 miles per hour to travel 497 miles?

#### Solution:
We are given:
- Speed = 71 miles per hour
- Distance = 497 miles

Using the formula:
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\]
\[
\text{Time} = \frac{497 \, \text{miles}}{71 \, \text{miles/hour}} = 7 \, \text{hours}
\]

#### Answer:
\[
\boxed{7 \, \text{hours}}
\]

---

Final Answers:

1. \(\boxed{120 \, \text{miles}}\)
2. \(\boxed{195 \, \text{kilometers}}\)
3. \(\boxed{34 \, \text{seconds}}\)
4. \(\boxed{620 \, \text{kilometers per hour}}\)
5. \(\boxed{3 \, \text{meters per second}}\)
6. \(\boxed{7 \, \text{hours}}\)