CFAT - Canadian Forces Aptitude Problem Solving: Time/Rate Questions and Answers

Question 1

A military supply truck travels from Base A to Base B, a distance of 120 km, at a speed of 60 km/h.
It returns from Base B to Base A along the same route at a speed of 40 km/h.
What is the average speed for the entire round trip?

Accepted Answer

48 km/h

Answer

50 km/h

Answer

52 km/h

Answer

100 km/h

Question 2

A machine at a factory produces 150 bolts in 3 minutes. At this constant rate, how many bolts can the machine produce in 2 hours?

Accepted Answer

6,000

Answer

3,000

Answer

4,500

Answer

9,000

Question 3

A team of two, Alex and Ben, can complete a project in 10 days. Alex, working alone, can complete it in 15 days. They work together for 6 days, after which Alex leaves. How many days will it take Ben to finish the remaining work?

Accepted Answer

12 days

Answer

9 days

Answer

15 days

Answer

6 days

Question 4

A water tank can be filled by an inlet pipe in 5 hours. It can be emptied by an outlet pipe in 8 hours. If the tank is empty and both pipes are opened simultaneously, how long will it take to fill the tank?

Accepted Answer

13 hours and 20 minutes

Answer

3 hours

Answer

6.5 hours

Answer

24 hours

Question 5

Two soldiers start at opposite ends of a 30 km road. Soldier A walks at a speed of 4 km/h, and Soldier B walks at a speed of 6 km/h. If they both start at the same time and walk towards each other, how long will it take for them to meet?

Accepted Answer

3 hours

Answer

5 hours

Answer

2.5 hours

Answer

7.5 hours

Question 6

One soldier can dig a standard trench in 4 hours. A second soldier can dig the same type of trench in 6 hours. If they work together, how long will it take them to dig one trench?

Accepted Answer

2 hours and 24 minutes

Answer

5 hours

Answer

10 hours

Answer

2 hours and 30 minutes