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1.
54 km/h expressed in m/s is:
Correct Answer: C [15 m/s]
Explanation:
54 × 5/18 = 15 m/s.
2.
25 m/s expressed in km/h is:
Correct Answer: B [90 km/h]
Explanation:
25 × 18/5 = 90 km/h.
3.
A cyclist covers 36 km in 2 hours 15 minutes. His speed is:
Correct Answer: A [16 km/h]
Explanation:
2 h 15 min = 9/4 h; 36 × 4/9 = 16 km/h.
4.
A 180 m long train running at 54 km/h passes a signal post in:
Correct Answer: D [12 s]
Explanation:
54 km/h = 15 m/s; 180 ÷ 15 = 12 s.
5.
A man travels from his house to the market at 30 km/h and back at 45 km/h. His average speed for the whole journey is:
Correct Answer: A [36 km/h]
Explanation:
2 × 30 × 45/75 = 36 km/h.
6.
A boat goes downstream at 14 km/h and upstream at 8 km/h. The speed of the stream is:
Correct Answer: D [3 km/h]
Explanation:
v = (14 − 8)/2 = 3 km/h.
7.
True or false? "A car that runs at 40 km/h for 2 hours and then at 60 km/h for 2 hours has an average speed of 50 km/h."
Correct Answer: B [True]
Explanation:
Equal times: (80 + 120) km ÷ 4 h = 50 km/h.
8.
Fill in the blank: Two friends 30 km apart walk towards each other at 4 km/h and 6 km/h. They meet after ____ hours.
Correct Answer: C [3]
Explanation:
Relative speed 10 km/h → 30 ÷ 10 = 3 h.
9.
Odd one out – which speed is different from the others?
Correct Answer: C [12 m/s]
Explanation:
72 km/h = 20 m/s = 1,200 m per minute = 1.2 km/min; 12 m/s is different.
10.
Match the train situation with the distance and speed used: (i) crossing a pole (ii) crossing a platform (iii) crossing a train coming from the opposite side (iv) overtaking a slower train ; (p) L₁ + L₂ at the sum of speeds (q) own length L (r) L + P (s) L₁ + L₂ at the difference of speeds
Correct Answer: D [i-q, ii-r, iii-p, iv-s]
Explanation:
Pole → L; platform → L + P; opposite train → L₁ + L₂ at S₁ + S₂; overtaking → L₁ + L₂ at S₁ − S₂.
11.
Without stoppages a train runs at 60 km/h; with stoppages its average speed is 50 km/h. For how many minutes does it stop per hour?
Correct Answer: B [10 minutes]
Explanation:
(60 − 50)/60 × 60 = 10 minutes per hour.
12.
In a 600 m race, A beats B by 90 m. The ratio of the speeds of A and B is:
Correct Answer: A [20 : 17]
Explanation:
When A runs 600 m, B runs 510 m → 600 : 510 = 20 : 17.
13.
A boat's speed in still water is 8 km/h and the stream flows at 2 km/h. How long does the boat take to go 30 km downstream?
Correct Answer: B [3 hours]
Explanation:
Downstream 8 + 2 = 10 km/h → 30 ÷ 10 = 3 h.
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