CFAT Problem Solving: Time/Rate 2

Question 1

A vehicle travels 240 km in 3 hours. How far will it travel in 5 hours at the same speed?

Accepted Answer

400 km

Answer

Speed = 240 ÷ 3 = 80 km/h; distance in 5 h = 80 × 5 = 400 km.

Question 2

Two soldiers start marching toward each other from points 45 km apart, one at 5 km/h and the other at 4 km/h. How long before they meet?

Accepted Answer

5 hours

Answer

Combined closing speed = 5 + 4 = 9 km/h; time = 45 ÷ 9 = 5 hours.

Question 3

Pump A fills a tank in 6 hours. Pump B fills the same tank in 3 hours. Working together, how long do they take?

Accepted Answer

2 hours

Answer

Combined rate = 1/6 + 1/3 = 1/2 tank per hour; time = 1 ÷ (1/2) = 2 hours.

Question 4

A helicopter covers 560 km in 1 hour 45 minutes. What is its speed in km/h?

Accepted Answer

320 km/h

Answer

1 h 45 min = 1.75 h; speed = 560 ÷ 1.75 = 320 km/h.

Question 5

A train leaves at 08:00 at 90 km/h. A second train leaves the same station at 09:30 on the same track at 120 km/h. At what time does the second train catch the first?

Accepted Answer

14:00

Answer

Head start = 90 × 1.5 = 135 km; closing speed = 30 km/h; catch-up time = 135 ÷ 30 = 4.5 h after 09:30 = 14:00.

(CFAT) Canadian Forces Aptitude Test Practice Test

(CFAT) Canadian Forces Aptitude Test Practice Test

CFAT Problem Solving: Time/Rate 2