CFAT Problem Solving: Word Problems 2

Question 1

A soldier marches 24 km in 6 hours. What is his average speed?

Accepted Answer

4 km/h

Answer

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?

Accepted Answer

420 km

Answer

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?

Accepted Answer

3 hours

Answer

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?

Accepted Answer

60 km/h

Answer

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?

Accepted Answer

40 minutes

Answer

Rate = 5 min/km; time for 8 km = 8 × 5 = 40 minutes.

(CFAT) Canadian Forces Aptitude Test Practice Test