BSEP Arithmetic Reasoning Word Problems 4 — Questions and Answers
Question 1: A train leaves Station A at 8:00 AM traveling at 60 mph. Another train leaves Station A at 9:00 AM traveling in the same direction at 80 mph. At what time will the second train catch up to the first?
- 12:00 PM (Correct answer)
- 11:00 AM
- 1:00 PM
- 10:00 AM
Correct answer: 12:00 PM
The first train has a 60-mile head start; the gap closes at 20 mph, so 60 ÷ 20 = 3 hours after 9:00 AM = 12:00 PM.
Question 2: A store bought 200 shirts for $8 each and sold them for $15 each. What was the total profit?
- $1,400 (Correct answer)
- $1,600
- $1,000
- $3,000
Correct answer: $1,400
Profit per shirt = $15 − $8 = $7; total profit = 200 × $7 = $1,400.
Question 3: If John can paint a fence in 4 hours and Jane can paint the same fence in 6 hours, how long will it take them working together?
- 2 hours 24 minutes (Correct answer)
- 3 hours
- 5 hours
- 2 hours
Correct answer: 2 hours 24 minutes
Combined rate = 1/4 + 1/6 = 5/12 fence per hour; time = 12/5 = 2.4 hours = 2 hours 24 minutes.
Question 4: A box of cereal weighs 18 ounces. If a serving size is 1.5 ounces, how many servings are in the box?
- 12 servings (Correct answer)
- 10 servings
- 15 servings
- 9 servings
Correct answer: 12 servings
18 ÷ 1.5 = 12 servings per box.
Question 5: A bus travels from City A to City B, a distance of 240 miles, in 4 hours. On the return trip, it takes 5 hours. What is the average speed for the entire round trip?
- 53⅓ mph (Correct answer)
- 55 mph
- 52 mph
- 60 mph
Correct answer: 53⅓ mph
Total distance = 480 miles; total time = 9 hours; average speed = 480 ÷ 9 ≈ 53⅓ mph.
Question 6: Kevin earns $2,400 per month. He spends 30% on rent and 15% on groceries. How much money does he have left after these two expenses?
- $1,320 (Correct answer)
- $1,080
- $1,200
- $960
Correct answer: $1,320
Rent = $720, groceries = $360; $2,400 − $720 − $360 = $1,320 remaining.
Question 7: A rectangular garden is 15 feet long and 10 feet wide. Fencing costs $3.50 per foot. How much will it cost to fence the entire garden?
- $175 (Correct answer)
- $140
- $210
- $525
Correct answer: $175
Perimeter = 2(15 + 10) = 50 feet; cost = 50 × $3.50 = $175.
BSEP Arithmetic Reasoning Word Problems 4
A train leaves Station A at 8:00 AM traveling at 60 mph.
Another train leaves Station A at 9:00 AM traveling in the same direction at 80 mph.
At what time will the second train catch up to the first?