DAA Distance, Speed, and Time Problems 2 — Questions and Answers
Question 1: Two cars start from the same point and travel in opposite directions. Car A travels at 60 km/h and Car B at 80 km/h. How far apart are they after 3 hours?
- 360 km
- 420 km (Correct answer)
- 480 km
- 540 km
Correct answer: 420 km
Combined speed = 60 + 80 = 140 km/h; distance = 140 × 3 = 420 km.
Question 2: A train 200 m long passes a stationary pole in 10 seconds. What is the speed of the train in km/h?
- 54 km/h
- 60 km/h
- 72 km/h (Correct answer)
- 80 km/h
Correct answer: 72 km/h
Speed = 200 ÷ 10 = 20 m/s; converting: 20 × 3.6 = 72 km/h.
Question 3: A car travels from City A to City B at 60 km/h and returns at 40 km/h. What is the average speed for the entire round trip?
- 45 km/h
- 48 km/h (Correct answer)
- 50 km/h
- 52 km/h
Correct answer: 48 km/h
Average speed = 2 × 60 × 40 ÷ (60 + 40) = 4800 ÷ 100 = 48 km/h.
Question 4: A cyclist leaves town at 8:00 AM at 12 km/h. A car leaves the same town at 9:00 AM in the same direction at 48 km/h. At what time does the car overtake the cyclist?
- 9:10 AM
- 9:15 AM
- 9:20 AM (Correct answer)
- 9:30 AM
Correct answer: 9:20 AM
At 9:00 AM the cyclist has a 12 km lead; closing speed = 36 km/h; 12 ÷ 36 = 1/3 hr = 20 min, so 9:20 AM.
Question 5: A train 150 m long travelling at 72 km/h passes another train 100 m long travelling at 36 km/h in the same direction. How long does it take to fully pass?
- 15 seconds
- 20 seconds
- 25 seconds (Correct answer)
- 30 seconds
Correct answer: 25 seconds
Relative speed = 72 − 36 = 36 km/h = 10 m/s; total length = 250 m; time = 250 ÷ 10 = 25 seconds.
Question 6: A car completes a journey in 6 hours at 80 km/h. How long would the same journey take at 96 km/h?
- 4 hours
- 4.5 hours
- 5 hours (Correct answer)
- 5.5 hours
Correct answer: 5 hours
Distance = 6 × 80 = 480 km; time at 96 km/h = 480 ÷ 96 = 5 hours.
Question 7: Two trains 80 m and 120 m long approach each other at 54 km/h and 36 km/h respectively. How long does it take them to completely pass each other?
- 6 seconds
- 7 seconds
- 8 seconds (Correct answer)
- 10 seconds
Correct answer: 8 seconds
Combined speed = 90 km/h = 25 m/s; total length = 200 m; time = 200 ÷ 25 = 8 seconds.
DAA Distance, Speed, and Time Problems 2
Two cars start from the same point and travel in opposite directions.
Car A travels at 60 km/h and Car B at 80 km/h.
How far apart are they after 3 hours?