CFAT Problem Solving: Word Problems 2 — Questions and Answers
Question 1: A soldier marches 24 km in 6 hours. What is his average speed?
- 3 km/h
- 4 km/h (Correct answer)
- 5 km/h
- 6 km/h
Correct answer: 4 km/h
Speed = distance ÷ time = 24 ÷ 6 = 4 km/h.
Question 2: Two vehicles leave the same base in opposite directions at 60 km/h and 80 km/h. How far apart are they after 3 hours?
- 180 km
- 240 km
- 360 km
- 420 km (Correct answer)
Correct answer: 420 km
Combined speed = 140 km/h; distance = 140 × 3 = 420 km.
Question 3: A plane flies 450 km in 1.5 hours. How long will it take to fly 900 km at the same speed?
- 2 hours
- 2.5 hours
- 3 hours (Correct answer)
- 3.5 hours
Correct answer: 3 hours
Speed = 300 km/h; time = 900 ÷ 300 = 3 hours.
Question 4: A convoy travels 180 km in 3 hours, then 120 km in 2 hours. What is the average speed for the whole trip?
- 55 km/h
- 60 km/h (Correct answer)
- 65 km/h
- 70 km/h
Correct answer: 60 km/h
Total distance = 300 km; total time = 5 hours; average speed = 60 km/h.
Question 5: A soldier can run 5 km in 25 minutes. At this rate, how long will it take to run 8 km?
- 36 minutes
- 38 minutes
- 40 minutes (Correct answer)
- 42 minutes
Correct answer: 40 minutes
Rate = 5 min/km; time for 8 km = 8 × 5 = 40 minutes.
Question 6: Two soldiers start walking toward each other from points 15 km apart, one at 4 km/h and the other at 6 km/h. How long before they meet?
- 1 hour
- 1.5 hours (Correct answer)
- 2 hours
- 2.5 hours
Correct answer: 1.5 hours
Combined closing speed = 10 km/h; time = 15 ÷ 10 = 1.5 hours.
Question 7: A patrol jeep travels at 80 km/h for 45 minutes. How far does it travel?
- 45 km
- 55 km
- 60 km (Correct answer)
- 72 km
Correct answer: 60 km
45 minutes = 0.75 hours; distance = 80 × 0.75 = 60 km.
CFAT Problem Solving: Word Problems 2
A soldier marches 24 km in 6 hours.
What is his average speed?