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1.  
A 300 m long train crosses a 200 m long platform in 25 seconds. The speed of the train is:

Correct Answer: C [72 km/h]

Explanation:

(300 + 200) ÷ 25 = 20 m/s = 72 km/h.

2.  
Two trains 120 m and 180 m long run in opposite directions at 60 km/h and 48 km/h. In how many seconds do they cross each other?

Correct Answer: D [10 s]

Explanation:

Relative 108 km/h = 30 m/s; (120 + 180) ÷ 30 = 10 s.

3.  
Trains 200 m and 160 m long run in the same direction at 75 km/h and 57 km/h. How long does the faster train take to pass the slower one completely?

Correct Answer: B [72 s]

Explanation:

Relative 18 km/h = 5 m/s; 360 ÷ 5 = 72 s.

4.  
Walking at 4 km/h, Priya reaches her college 6 minutes late; walking at 5 km/h she reaches 9 minutes early. The distance to the college is:

Correct Answer: E [5 km]

Explanation:

Late–Early Gap: 4 × 5 × (15/60) ÷ (5 − 4) = 5 km.

5.  
A cyclist covers three equal parts of a journey at 20 km/h, 30 km/h and 60 km/h. His average speed for the whole journey is:

Correct Answer: A [30 km/h]

Explanation:

3 ÷ (1/20 + 1/30 + 1/60) = 3 ÷ (6/60) = 30 km/h.

6.  
A boat goes 36 km downstream in 3 hours and 24 km upstream in 4 hours. The speed of the boat in still water is:

Correct Answer: D [9 km/h]

Explanation:

D = 12, U = 6 → u = (12 + 6)/2 = 9 km/h.

7.  
A thief rides away at 36 km/h. Forty-five minutes later a police jeep starts chasing him from the same point at 48 km/h. In how many hours does the jeep catch the thief?

Correct Answer: B [2.25 hours]

Explanation:

Head start 36 × 3/4 = 27 km; relative speed 12 km/h → 27 ÷ 12 = 2.25 h.

8.  
A bus running at 3/5 of its usual speed reaches its destination 24 minutes late. Its usual time for the journey is:

Correct Answer: A [36 minutes]

Explanation:

Slow-Speed Delay: 24 × 3/(5 − 3) = 36 minutes.

9.  
Quantity I: Speed (km/h) of a 270 m train that passes a pole in 12 seconds.
Quantity II: Average speed (km/h) of a car that goes from A to B at 70 km/h and returns at 90 km/h.

Correct Answer: A [Quantity I > Quantity II]

Explanation:

I: 22.5 m/s = 81 km/h. II: 2 × 70 × 90/160 = 78.75 km/h.

10.  
What is the speed of the train?
I. It crosses a signal post in 15 seconds.
II. It crosses a 300 m platform in 27 seconds.

Correct Answer: D [Both statements together are needed]

Explanation:

Need both: L = 15v and L + 300 = 27v → 12v = 300 → v = 25 m/s (90 km/h).

11.  
Trick Spotter: a man drives 30 km/h one way and 70 km/h back on the same road. Which gives his average speed directly?

Correct Answer: B [2 × 30 × 70/(30 + 70)]

Explanation:

Equal distances → Harmonic Pair 2xy/(x + y) = 4,200/100 = 42 km/h.

12.  
A boat's speed in still water is 12 km/h and the stream flows at 3 km/h. Which of the following is/are correct?
I. Its downstream speed is 15 km/h.
II. It goes 45 km upstream in 5 hours.
III. A round trip of 45 km each way takes 7.5 hours.

Correct Answer: C [Only I and II]

Explanation:

I: 15 ✓. II: 45 ÷ 9 = 5 ✓.

13.  
Two cars start at 9:00 am from towns 400 km apart and drive towards each other at 45 km/h and 55 km/h. At what time do they meet?

Correct Answer: E [1:00 pm]

Explanation:

Relative speed 100 km/h → 400 ÷ 100 = 4 h → 1:00 pm.

14.  
Reverse question: a train crosses a 150 m bridge in 15 seconds and a 330 m platform in 21 seconds. What is the length of the train?

Correct Answer: C [300 m]

Explanation:

Speed = (330 − 150)/(21 − 15) = 30 m/s; length = 30 × 15 − 150 = 300 m.

15.  
A man can row at 6 km/h in still water. It takes him twice as long to row a distance upstream as to row the same distance downstream. The speed of the stream is:

Correct Answer: C [2 km/h]

Explanation:

Down = 2 × up: 6 + v = 2(6 − v) → v = 2 km/h.

16.  
If Anitha walks at 4/5 of her usual speed, she takes 15 minutes more than usual to reach the library. Her usual time is:

Correct Answer: D [60 minutes]

Explanation:

Time becomes 5/4 of usual; extra 1/4 of usual = 15 min → usual = 60 minutes.

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