A government field officer traveled 180 kilometers from the regional office to a provincial station in 3 hours. What was the officer’s average speed?
Speed = Distance ÷ Time
Speed = 180 ÷ 3
Answer = 60 km/h
A disaster response vehicle traveled at an average speed of 80 km/h for 2.5 hours while delivering emergency supplies. How far did the vehicle travel?
Distance = Speed × Time
80 × 2.5 = 200
Answer = 200 km
A government inspection team must travel 150 kilometers to reach a project site. Their vehicle travels at 75 km/h. How long will the trip take?
Time = Distance ÷ Speed
150 ÷ 75 = 2
Answer = 2 hours
An inspection team traveled 120 km to a project site. For the first 80 km they traveled at 60 km/h. For the remaining 40 km they traveled at 40 km/h. What was their average speed?
Time for first part
80 ÷ 60 = 1.33 hours
Time for second part
40 ÷ 40 = 1 hour
Total time = 2.33 hours
Average speed = 120 ÷ 2.33 ≈ 52 km/h
A government supply truck leaves the warehouse at 7:00 AM traveling at 50 km/h. Another truck leaves at 8:30 AM traveling at 70 km/h. At what time will the second truck catch up?
Head start = 1.5 hours
Distance ahead = 50 × 1.5 = 75 km
Relative speed = 70 − 50 = 20 km/h
Time to catch up = 75 ÷ 20 = 3.75 hours
3 hours 45 minutes after 8:30 AM
Answer = 12:15 PM
Two engineers travel toward each other from cities 420 km apart. One travels at 60 km/h and the other at 80 km/h. How long until they meet?
Relative speed = 60 + 80 = 140 km/h
Time = 420 ÷ 140
Answer = 3 hours
A government environmental team travels 45 km downstream. The boat speed in still water is 15 km/h and the river current is 3 km/h. How long does the trip take?
Downstream speed = 15 + 3 = 18 km/h
Time = 45 ÷ 18
Answer = 2.5 hours
A train 300 meters long travels at 72 km/h. How long will it take to completely pass a railway worker standing beside the track?
Convert speed
72 km/h = 20 m/s
Time = Distance ÷ Speed
300 ÷ 20 = 15
Answer = 15 seconds