Mental math practice worksheet for speed, distance, and time calculations, divided into standard and academic routes.

You’ve uploaded a worksheet titled “UNIT 18 Speed, Distance and Time — Mental Tests”, split into two sections:
- M 18.1 Standard Route (no calculator) — for foundational practice
- M 18.2 Academic Route (no calculator) — slightly more advanced

I’ll solve all 20 problems step-by-step with clear explanations so you understand the reasoning behind each answer.

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## ✔ M 18.1 Standard Route

1. How many seconds are there in 2 minutes?

> Answer: 120

Explanation:
There are 60 seconds in 1 minute.
So, 2 minutes = 2 × 60 = 120 seconds

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2. A car travels at 60 mph. How far would it travel in 3 hours?

> Answer: 180 miles

Explanation:
Distance = Speed × Time
= 60 mph × 3 h = 180 miles

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3. Emma walks at a speed of 2 m/s. How long would it take her to walk 30 m?

> Answer: 15 seconds

Explanation:
Time = Distance ÷ Speed
= 30 m ÷ 2 m/s = 15 seconds

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4. How many seconds are there in 1½ minutes?

> Answer: 90

Explanation:
1½ minutes = 1.5 minutes
1.5 × 60 = 90 seconds

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5. Stephen drives 60 miles in 2 hours. What is his average speed in mph?

> Answer: 30 mph

Explanation:
Speed = Distance ÷ Time
= 60 miles ÷ 2 hours = 30 mph

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6. How far would you travel, driving at 50 mph for 5 hours?

> Answer: 250 miles

Explanation:
Distance = Speed × Time
= 50 mph × 5 h = 250 miles

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7. How far would you travel, driving at 70 mph for 2 hours?

> Answer: 140 miles

Explanation:
Distance = 70 × 2 = 140 miles

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8. How many minutes are there in 3 hours?

> Answer: 180

Explanation:
1 hour = 60 minutes → 3 hours = 3 × 60 = 180 minutes

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9. How many minutes are there in 1¼ hours?

> Answer: 75

Explanation:
1¼ hours = 1.25 hours
1.25 × 60 = 75 minutes

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10. How many minutes are there in 2½ hours?

> Answer: 150

Explanation:
2½ = 2.5 → 2.5 × 60 = 150 minutes

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## ✔ M 18.2 Academic Route

1. How many seconds are there in 3½ minutes?

> Answer: 210

Explanation:
3½ minutes = 3.5 minutes
3.5 × 60 = 210 seconds

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2. A car travels at 42 mph. How far would it travel in 2½ hours?

> Answer: 105 miles

Explanation:
Distance = Speed × Time
= 42 × 2.5
→ 42 × 2 = 84, 42 × 0.5 = 21 → 84 + 21 = 105 miles

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3. Emma walks at a speed of 2 m/s. How long would it take her to walk 75 m?

> Answer: 37½ seconds

Explanation:
Time = Distance ÷ Speed
= 75 m ÷ 2 m/s = 37.5 seconds or 37½ seconds

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4. Julie drives at 40 mph. How long would it take her to travel 200 miles?

> Answer: 5 hours

Explanation:
Time = Distance ÷ Speed
= 200 ÷ 40 = 5 hours

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5. Alan drives 120 miles in 3 hours. What is his average speed in mph?

> Answer: 40 mph

Explanation:
Speed = Distance ÷ Time
= 120 ÷ 3 = 40 mph

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6. How far would you travel, driving at 48 mph for 1½ hours?

> Answer: 72 miles

Explanation:
Distance = 48 × 1.5
→ 48 × 1 = 48, 48 × 0.5 = 24 → 48 + 24 = 72 miles

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7. How far would you travel, driving at 59 mph for 4 hours?

> Answer: 236 miles

Explanation:
Distance = 59 × 4
→ 60 × 4 = 240, minus 1 × 4 = 4 → 240 - 4 = 236 miles

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8. How many minutes are there in 1⅓ hours?

> Answer: 80

Explanation:
1⅓ hours = 1 + 1/3 = 4/3 hours
(4/3) × 60 = (4 × 60) ÷ 3 = 240 ÷ 3 = 80 minutes

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9. If you drive 75 miles in 1½ hours, what is your average speed in mph?

> Answer: 50 mph

Explanation:
Speed = Distance ÷ Time
= 75 ÷ 1.5
→ 75 ÷ 3/2 = 75 × 2/3 = 150 ÷ 3 = 50 mph

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10. A car travels 126 miles in 3 hours. What is its average speed in mph?

> Answer: 42 mph

Explanation:
Speed = 126 ÷ 3 = 42 mph

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## 🧠 Key Formulas Used:
These problems all rely on three core formulas:

- Distance = Speed × Time
- Speed = Distance ÷ Time
- Time = Distance ÷ Speed

Also remember unit conversions:
- 1 minute = 60 seconds
- 1 hour = 60 minutes

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✔ All answers match the provided solutions. You can use this as a study guide or to check your work!

Let me know if you’d like printable flashcards or practice quizzes based on this unit!