Answer: Option B
Explanation:
Relative speed of the two trains
= (60 + 40) * \(\frac {5} {18} – \frac {250}{9}\) m/s
Thus, required time = \(\frac {140 + 160} {\frac{250}{9}}\) = 10.8 sec
2. Ravi runs 200 metres in 24 seconds. Find his average speed :
Answer: Option D
Explanation:
Average speed = \(\frac {200} {24} * \frac {18}{5}\) = 30 km/hr.
3. A man completes 30 km of a journey at 6 km/hr and the remaining 40 km of the journey in 5 hours his average speed for the whole journey is :
Answer: Option B
Explanation:
Average speed = \(\frac {30 + 40} {\frac {30}{6} + 5} = \frac {70}{10}\) = 7 km/hr.
4. A train with a speed of 60 kmph crosses a pole in 30 seconds. The length of the train is
Answer: Option A
Explanation:
Length of the train =60 * \(\frac {5} {18}\) * 30 = 500 meter
5. Speed of a boat in still water is 3 km/hr. the speed of the stream is 2 km/hr. The time taken to go 4 km downstream in minutes is
Answer: Option D
Explanation:
Speed of the boat downstream = (3 + 2) km/hr
Distance to be traveled = 4 km
Hence, required time in minutes
= \(\frac {4} {5}\) Ã— 60 = 48 minutes.
Answer: Option C
Explanation:
Relative speed of the two trains with respect to each other
= 68 â€“ 50 = 18 km/hr or 18 Ã— \(\frac {5} {18}\) = 5 m/s.
Distance to be covered = 150 + 100 = 250 meters
Hence, required time = \(\frac {250} {5}\) = 50 seconds
7. Speed of a boat in still water is 3 km/hr. the speed of the stream is 1 km/hr. The time taken
to go 4 km upstream in minutes is
Answer: Option D
Explanation:
Required time = \(\frac {4} {3 – 1} * 60\) = = 120 minutes
8. A train 100 m long is moving at 40 km/h. The time in seconds, it will take to pass another train 150 m long which is moving at 50 km/h in the opposite direction from the moment they meet is
Answer: Option C
Explanation:
Relative speed = (40 + 50) * \(\frac {5} {18}\) = 25 m/s
Hence, required time
= \(\frac {100 + 150} {25}\) = 10 sec
9. The speed of a boat m still water is 15 km/hr. The speed of the stream is 3 km/hr. The time
taken to go 12 km downstream in minutes is
Answer: Option A
Explanation:
Relative Speed of boat (down stream) = 15 + 3 = 18 km/pr
Distance = 12 km
i.e, Time (in minutes) = \(\frac {12 * 60} {18}\) = 40 min
10. A train 200 m long is moving at 40 km/hr . The time in seconds, it will take to pass another train 150 long which is moving at 50 km/h in the opposite direction from the moment they meet is
Answer: Option C
Explanation:
Total distance covered by train of length 200 m to cross another train of length 150 m = 350 m
Relative speed = (40 + 50) km/pr = 90 km/pr
i.e, Time (in seconds) = \(\frac {350 * 18} {90 * 5}\) = 14 sec
Answer: Option B
Explanation:
Time given = 100 min = \(\frac {100} {960}\) hr.
speed = 18 km/hr
Distance 18 \(\frac {100} {960}\) = 30km
12. A train 200 m long is moving at 68 km/h. The time in seconds, it will take to pass another train 150 m long which is moving at 50 km/h in the same direction from the moment they meet is
Answer: Option D
Explanation:
Total distance = length of 2 trains = 200 + 150 = 350 m
Relative speed = 68 â€“ 50 = 18 km/hr = 5 m/s
i.e, Time taken to meet = \(\frac {Distance} {Speed}\)
= \(\frac {350} {5}\) = 70 seconds
13. Speed of a boat in still water is 15 km/h. the speed of the stream is 3 km/h. The time taken to go 6 km upstream in minutes is
Answer – Option B
Explanation:
Relative speed of boat (upstream) = 15 â€“ 3 = 12 km/hr
Distance = 6 km
i.e, Time (minutes) = \(\frac {6} {12}\) * 60 = 30
14. A train 120 in long is moving at 40 km/h. The time in seconds, it will take to pass another train 100 m long which is moving at 32 km/h in the opposite direction horn the moment they meet is
Answer: Option A
Explanation:
Distance covered by train to pass = 120 + 100 = 220 m
Relative speed = 40 + 32 = 72 km/hr.
i.e, Time (seconds) = \(\frac {220 * 18} {72 * 5}\) = 11
15. The speed of a car is 72 km/h. The time taken by it to cover a distance of 500 m in seconds is
Answer: Option B
Explanation:
Speed = (72 * \(\frac {5} {18}\)) m/s = 20 m/s
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