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Speed Time and Distance:
- Speed = Distance/Time , Time = Distance/Speed, Distance = Speed * Time
- x km/hr = (x* 5/18) m/sec
- x m/sec = (x* 18/5) km/hr
- If the ratio of the speeds of A and is a:b, then the ratio of the time taken by them to cover the same distance is 1/a : 1/b or b:a
- Suppose a man covers a certain distance at x km/hr and an equal distance at y km/hr. Then, the average speed during the whole journey is (2xy/(x+y)) km/hr
Aptitude Questions (Speed Time and Distance):
1. An athlete runs 200 mtrs race in 24 seconds. His speed is:
A) 40km/hr
B) 34 km/hr
C) 28 km/hr
D) 30 km/hr
E) None of these
View Answer
Answer: option (D)
Explanation:
Speed = (200/24) m/sec = 25/3 m/sec = (25/3*18/5 ) km/hr = 30 km/hr
2. A man walking at the rate of 5km/hr crosses a bridge in 18 minutes. The length of the bridge (in metres) is:
A) 600
B) 750
C) 1500
D) 1250
E) None of these
View Answer
Answer: option (C)
Explanation:
Speed = (5*5/18 ) m/sec = (25/18) m/sec
Distance covered in 15 minutes = ((25/18)*18*60)) m = 1500m.
3. A car is running at a speed of 126km/hr. What distance will it cover in 20 seconds?
A) 450 metres
B) 550 metres
C) 700 metres
D) 300 metres
E) None of these
View Answer
Answer: option (C)
Explanation:
Speed = 126 kmph = (126*5/18 ) m/sec = 35 m/sec
∴ Distance covered in 20 sec = (35 * 20)m = 700m.
4. A truck covers a distance of 550 metres in 1 minute whereas a bus covers a distance of 33 kms in 45 minutes. The ratio of their speed is:
A) 3:4
B) 4:3
C) 3:5
D) 50:3
E) None of these
View Answer
Answer: option (A)
Explanation:
Ratio of speeds = (550/6)*(18/5 ) : (33/45)*60 = 33 : 44 = 3 : 4
5. An airplane covers a distance at a speed of 250 kmph in 5 hours. To cover the same distance in 1(2/3) hours, it must travel at a speed of:
A) 300 kmph
B) 360 kmph
C) 600 kmph
D) 750 kmph
E) None of these
View Answer
Answer: option (D)
Explanation:
Distance = (250 * 5) km = 1250 km
∴ Required speed = (1250*3/5 ) km/hr = 750 km/hr