UTMA Word Problems and Applied Math 1 — Questions and Answers
Question 1: A car travels 240 miles in 4 hours. What is its average speed in miles per hour?
- 40 mph
- 50 mph
- 60 mph (Correct answer)
- 80 mph
Correct answer: 60 mph
Speed = Distance / Time = 240 / 4 = 60 mph.
Question 2: A store marks up a jacket by 25% from its cost of $80. What is the selling price?
- $85
- $90
- $95
- $100 (Correct answer)
Correct answer: $100
Markup = 0.25 × 80 = $20; Selling price = 80 + 20 = $100.
Question 3: Two pipes fill a tank in 6 and 12 hours respectively. How long do they take working together?
- 3 hours
- 4 hours (Correct answer)
- 5 hours
- 9 hours
Correct answer: 4 hours
Combined rate = 1/6 + 1/12 = 2/12 + 1/12 = 3/12 = 1/4; time = 4 hours.
Question 4: Maria is 3 times as old as Tom. In 5 years, she will be twice Tom's age. How old is Tom now?
- 5 (Correct answer)
- 7
- 10
- 15
Correct answer: 5
Let Tom = t; Maria = 3t. In 5 years: 3t+5 = 2(t+5) → t = 5.
Question 5: A 10-meter ladder leans against a wall. If the base is 6 meters from the wall, how high does it reach?
- 6 m
- 7 m
- 8 m (Correct answer)
- 9 m
Correct answer: 8 m
Using the Pythagorean theorem: h² = 10² − 6² = 100 − 36 = 64, so h = 8 m.
Question 6: If 5 workers can complete a job in 12 days, how many days would 3 workers take (at the same rate)?
- 15 days
- 18 days
- 20 days (Correct answer)
- 24 days
Correct answer: 20 days
Total work = 5 × 12 = 60 worker-days; with 3 workers: 60/3 = 20 days.
UTMA Word Problems and Applied Math 1
A car travels 240 miles in 4 hours.
What is its average speed in miles per hour?