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Math worksheet with speed and distance problems for students to solve.

A worksheet titled "SHOW ALL OF YOUR WORK" with seven word problems involving speed, distance, and time calculations, each requiring answers to one decimal place.

A worksheet titled "SHOW ALL OF YOUR WORK" with seven word problems involving speed, distance, and time calculations, each requiring answers to one decimal place.

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Show Answer Key & Explanations Step-by-step solution for: Distance Speed Time or DST Word Problems With Significant Figures Part 1
Let's solve each problem step by step, following the instructions to show all steps and round answers to one decimal place.

---

1. If a car travels 400.0 m in 20.0 seconds, how fast is it going?



We use the formula for speed:

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

Given:
- Distance = 400.0 m
- Time = 20.0 s

\[
\text{Speed} = \frac{400.0}{20.0} = 20.0 \, \text{m/s}
\]

Answer: 20.0 m/s

---

2. If you drove 70.0 meters in 10.0 seconds, what is your speed?



Again, use:

\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{70.0}{10.0} = 7.0 \, \text{m/s}
\]

Answer: 7.0 m/s

---

3. You arrive in science class in 10.0 seconds after sprinting 90.0 meters from math. What’s your speed?



\[
\text{Speed} = \frac{90.0}{10.0} = 9.0 \, \text{m/s}
\]

Answer: 9.0 m/s

---

4. A plane travels 350,000.0 meters in 9000.0 seconds. What was its speed?



\[
\text{Speed} = \frac{350,000.0}{9000.0} = 38.888... \approx 38.9 \, \text{m/s}
\]

(Rounded to one decimal place)

Answer: 38.9 m/s

---

5. (BE CAREFUL!) It takes Serena 2.25 hours to drive to school. Her route is 18.0 km long. What is Serena’s average speed on her drive to school?



Note: Distance is in kilometers, time is in hours, so speed will be in km/h.

\[
\text{Speed} = \frac{18.0 \, \text{km}}{2.25 \, \text{h}} = 8.0 \, \text{km/h}
\]

Answer: 8.0 km/h

> *Note: The unit is km/h because both distance and time are in compatible units.*

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6. How much time will it take for a bug to travel 1.2 meters across your floor if it is traveling at 1.00 m/s?



Use the rearranged formula:

\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{1.2}{1.00} = 1.2 \, \text{seconds}
\]

Answer: 1.2 s

---

7. You need to get to class, 200.0 meters away, and you are walking at 1.5 m/s. How much time will it take to get to class, in seconds?



\[
\text{Time} = \frac{200.0}{1.5} = 133.333... \approx 133.3 \, \text{seconds}
\]

Answer: 133.3 s

---

Final Answers Summary:



1. 20.0 m/s
2. 7.0 m/s
3. 9.0 m/s
4. 38.9 m/s
5. 8.0 km/h
6. 1.2 s
7. 133.3 s

All answers are rounded to one decimal place as requested.
Parent Tip: Review the logic above to help your child master the concept of distance rate time worksheet.
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