Q1): A car moves at 40 km/h for 3 hours. What distance does it cover?
A) 100 km
B) 120 km
C) 140 km
D) 160 km
Answer: B) 120 km
Explanation:
- Step 1: Formula: Distance = Speed × Time
- Step 2: Speed = 40 km/h, Time = 3 h
- Step 3: Distance = 40 × 3 = 120
- Final: So the car covers 120 km
Q2): A bus covers 150 km at 50 km/h. How much time does it take?
A) 2 hours
B) 2.5 hours
C) 3 hours
D) 3.5 hours
Answer: C) 3 hours
Explanation:
- Step 1: Formula: Time = Distance ÷ Speed
- Step 2: Distance = 150 km, Speed = 50 km/h
- Step 3: Time = 150 ÷ 50 = 3
- Final: So time taken is 3 hours
Q3): A cyclist covers 180 km in 4 hours. Find the speed.
A) 40 km/h
B) 45 km/h
C) 50 km/h
D) 55 km/h
Answer: B) 45 km/h
Explanation:
- Step 1: Formula: Speed = Distance ÷ Time
- Step 2: Distance = 180 km, Time = 4 h
- Step 3: Speed = 180 ÷ 4 = 45
- Final: So the speed is 45 km/h
Q4): Convert 72 km/h into m/s.
A) 18 m/s
B) 20 m/s
C) 22 m/s
D) 24 m/s
Answer: B) 20 m/s
Explanation:
- Step 1: Formula: km/h to m/s = × (5/18)
- Step 2: Here speed = 72 km/h
- Step 3: 72 × (5/18) = 4 × 5 = 20
- Final: So 72 km/h = 20 m/s
Q5): Convert 15 m/s into km/h.
A) 45 km/h
B) 50 km/h
C) 54 km/h
D) 60 km/h
Answer: C) 54 km/h
Explanation:
- Step 1: Formula: m/s to km/h = × (18/5)
- Step 2: Here speed = 15 m/s
- Step 3: 15 × (18/5) = 3 × 18 = 54
- Final: So 15 m/s = 54 km/h
Q6): A person goes 60 km at 30 km/h and returns 60 km at 60 km/h. Find the average speed.
A) 36 km/h
B) 40 km/h
C) 45 km/h
D) 48 km/h
Answer: B) 40 km/h
Explanation:
- Step 1: For equal distances, Average speed = (2ab)/(a+b)
- Step 2: a = 30, b = 60 (in km/h)
- Step 3: Average = (2×30×60)/(30+60) = 3600/90 = 40
- Final: So average speed is 40 km/h
Q7): A bike runs for 2 hours at 40 km/h and for 2 hours at 60 km/h. Find the average speed.
A) 45 km/h
B) 48 km/h
C) 50 km/h
D) 55 km/h
Answer: C) 50 km/h
Explanation:
- Step 1: Here time is equal, so average speed = (40 + 60)/2
- Step 2: (40 + 60) = 100
- Step 3: 100 ÷ 2 = 50
- Final: So average speed is 50 km/h
Q8): Two cars move towards each other at 60 km/h and 40 km/h. Distance between them is 200 km. Time to meet?
A) 1 hour
B) 2 hours
C) 2.5 hours
D) 3 hours
Answer: B) 2 hours
Explanation:
- Step 1: Relative speed (towards each other) = 60 + 40
- Step 2: Relative speed = 100 km/h
- Step 3: Time = Distance ÷ Relative speed = 200 ÷ 100 = 2
- Final: They meet in 2 hours
Q9): Two bikes move in the same direction at 50 km/h and 35 km/h. They are 30 km apart. Time to catch up?
A) 1 hour
B) 2 hours
C) 3 hours
D) 4 hours
Answer: B) 2 hours
Explanation:
- Step 1: Relative speed (same direction) = 50 − 35
- Step 2: Relative speed = 15 km/h
- Step 3: Time = 30 ÷ 15 = 2
- Final: Catch-up time is 2 hours
Q10): A train of length 120 m moves at 54 km/h. Time to pass a pole?
A) 6 s
B) 8 s
C) 10 s
D) 12 s
Answer: B) 8 s
Explanation:
- Step 1: Convert 54 km/h to m/s: 54 × (5/18) = 15 m/s
- Step 2: Distance to pass pole = train length = 120 m
- Step 3: Time = Distance ÷ Speed = 120 ÷ 15 = 8
- Final: Time taken is 8 seconds
Q11): A train (150 m) moves at 36 km/h. Time to cross a platform of 100 m?
A) 20 s
B) 25 s
C) 30 s
D) 35 s
Answer: B) 25 s
Explanation:
- Step 1: Total distance = 150 + 100 = 250 m
- Step 2: Convert 36 km/h to m/s: 36 × (5/18) = 10 m/s
- Step 3: Time = 250 ÷ 10 = 25
- Final: Time taken is 25 seconds
Q12): Boat speed in still water is 10 km/h and stream speed is 2 km/h. Downstream speed is:
A) 6 km/h
B) 8 km/h
C) 10 km/h
D) 12 km/h
Answer: D) 12 km/h
Explanation:
- Step 1: Downstream speed = (still water speed + stream speed)
- Step 2: = 10 + 2
- Step 3: = 12 km/h
- Final: Downstream speed is 12 km/h
Q13): A boat covers 24 km downstream in 2 hours. Stream speed is 3 km/h. Speed in still water is:
A) 6 km/h
B) 9 km/h
C) 12 km/h
D) 15 km/h
Answer: B) 9 km/h
Explanation:
- Step 1: Downstream speed = Distance ÷ Time = 24 ÷ 2 = 12 km/h
- Step 2: Downstream speed = (still water speed + stream speed)
- Step 3: Still water speed = 12 − 3 = 9 km/h
- Final: Speed in still water is 9 km/h
Q14): A person walks at 5 km/h. How many meters will he walk in 6 minutes?
A) 400 m
B) 450 m
C) 500 m
D) 600 m
Answer: C) 500 m
Explanation:
- Step 1: 5 km/h = 5000 m in 60 minutes
- Step 2: In 1 minute, distance = 5000/60 m
- Step 3: In 6 minutes, distance = (5000/60) × 6 = 500
- Final: He walks 500 meters
Q15): A cyclist covers 60 km at 12 km/h. If speed becomes 15 km/h, time saved is:
A) 30 minutes
B) 45 minutes
C) 1 hour
D) 1 hour 30 minutes
Answer: C) 1 hour
Explanation:
- Step 1: Time₁ = 60 ÷ 12 = 5 hours
- Step 2: Time₂ = 60 ÷ 15 = 4 hours
- Step 3: Time saved = 5 − 4 = 1 hour
- Final: Time saved is 1 hour
Q16): A train of length 180 m runs at 72 km/h. Time to cross a standing man?
A) 6 s
B) 8 s
C) 9 s
D) 12 s
Answer: C) 9 s
Explanation:
- Step 1: Convert 72 km/h to m/s: 72 × (5/18) = 20 m/s
- Step 2: Distance to cross man = train length = 180 m
- Step 3: Time = 180 ÷ 20 = 9
- Final: Time taken is 9 seconds
Q17): A car moves at 90 km/h. How far will it go in 20 minutes?
A) 20 km
B) 25 km
C) 30 km
D) 35 km
Answer: C) 30 km
Explanation:
- Step 1: Convert 20 minutes into hours: 20/60 = 1/3 hour
- Step 2: Distance = Speed × Time
- Step 3: Distance = 90 × (1/3) = 30 km
- Final: Distance covered is 30 km
Q18): A person travels 30 km at 30 km/h and stops for 30 minutes. Average speed for the whole trip is:
A) 15 km/h
B) 18 km/h
C) 20 km/h
D) 25 km/h
Answer: C) 20 km/h
Explanation:
- Step 1: Travel time = 30 ÷ 30 = 1 hour
- Step 2: Stop time = 30 minutes = 0.5 hour
- Step 3: Total time = 1 + 0.5 = 1.5 hours
- Step 4: Average speed = 30 ÷ 1.5 = 20 km/h
- Final: Average speed is 20 km/h
Q19): Two trains (100 m and 150 m) move in opposite directions at 36 km/h and 54 km/h. Time to cross each other?
A) 8 s
B) 10 s
C) 12 s
D) 15 s
Answer: B) 10 s
Explanation:
- Step 1: Total distance = 100 + 150 = 250 m
- Step 2: Convert speeds: 36 km/h = 10 m/s, 54 km/h = 15 m/s
- Step 3: Relative speed (opposite) = 10 + 15 = 25 m/s
- Step 4: Time = 250 ÷ 25 = 10 s
- Final: They cross in 10 seconds
Q20): A train covers 1 km in 1 minute. Its speed is:
A) 30 km/h
B) 45 km/h
C) 60 km/h
D) 90 km/h
Answer: C) 60 km/h
Explanation:
- Step 1: 1 km in 1 minute means 1 km/min
- Step 2: In 60 minutes, distance = 1 × 60 = 60 km
- Step 3: So speed = 60 km/h
- Final: Correct speed is 60 km/h