1. The length of two trains are 140 m and 160 m respectively. If they run at the speed of 60 km/h and 40 km/h respectively in opposite directions on parallel tracks, then find the time in which they will cross each other

A. 10 sec B. 10.8 sec C. 9 sec D. 9.6 sec

Answer: Option B
Explanation:
Relative speed of the two trains
= (60 + 40) * [latex]\frac {5} {18} - \frac {250}{9}[/latex] m/s
Thus, required time = [latex]\frac {140 + 160} {\frac{250}{9}}[/latex] = 10.8 sec
2. Ravi runs 200 metres in 24 seconds. Find his average speed :

A. 20 km/h B. 24 km/h C. 28.5 km/h D. 30 km/h

Answer: Option D
Explanation:
Average speed = [latex]\frac {200} {24} * \frac {18}{5}[/latex] = 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 :

A. 6[latex]\frac {4} {11}[/latex] km/hr B. 7 km/hr C. 7[latex]\frac {1} {2}[/latex] km/hr D. 8 km/hr

Answer: Option B
Explanation:
Average speed = [latex]\frac {30 + 40} {\frac {30}{6} + 5} = \frac {70}{10}[/latex] = 7 km/hr.
4. A train with a speed of 60 kmph crosses a pole in 30 seconds. The length of the train is

A. 500 m B. 750 m C. 900 m D. 1000 m

Answer: Option A
Explanation:
Length of the train =60 * [latex]\frac {5} {18}[/latex] * 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

A. 120 B. 96 C. 80 D. 48

Answer: Option D
Explanation:
Speed of the boat downstream = (3 + 2) km/hr
Distance to be traveled = 4 km
Hence, required time in minutes
= [latex]\frac {4} {5}[/latex] × 60 = 48 minutes.

6. A train 100 m long is moving at 58 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

A. 20 B. 30 C. 50 D. 70

Answer: Option C
Explanation:
Relative speed of the two trains with respect to each other
= 68 – 50 = 18 km/hr or 18 × [latex]\frac {5} {18}[/latex] = 5 m/s.
Distance to be covered = 150 + 100 = 250 meters
Hence, required time = [latex]\frac {250} {5}[/latex] = 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

A. 48 B. 60 C. 96 D. 120

Answer: Option D
Explanation:
Required time = [latex]\frac {4} {3 - 1} * 60[/latex] = = 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

A. 6 B. 8 C. 10 D. 15

Answer: Option C
Explanation:
Relative speed = (40 + 50) * [latex]\frac {5} {18}[/latex] = 25 m/s
Hence, required time
= [latex]\frac {100 + 150} {25}[/latex] = 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

A. 40 B. 45 C. 50 D. 55

Answer: Option A
Explanation:
Relative Speed of boat (down stream) = 15 + 3 = 18 km/pr
Distance = 12 km
i.e, Time (in minutes) = [latex]\frac {12 * 60} {18}[/latex] = 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

A. 8 B. 12 C. 14 D. 117

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) = [latex]\frac {350 * 18} {90 * 5}[/latex] = 14 sec

11. A person cycles from one place to another in 100 minutes. If his speed is 18 km/h, the distance between two places is

A. 20 km B. 30 km C. 15 km D. 25 km

Answer: Option B
Explanation:
Time given = 100 min = [latex]\frac {100} {960}[/latex] hr.
speed = 18 km/hr
Distance 18 [latex]\frac {100} {960}[/latex] = 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

A. 40 B. 50 C. 60 D. 70

Answer: Option D
Explanation:
Total distance = length of 2 trains = 200 + 150 = 350 m
Relative speed = 68 – 50 = 18 km/hr = 5 m/s
i.e, Time taken to meet = [latex]\frac {Distance} {Speed}[/latex]
= [latex]\frac {350} {5}[/latex] = 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

A. 20 B. 30 C. 24 D. 25

Answer - Option B
Explanation:
Relative speed of boat (upstream) = 15 – 3 = 12 km/hr
Distance = 6 km
i.e, Time (minutes) = [latex]\frac {6} {12}[/latex] * 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

A. 11 B. 22 C. 44 D. 88

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) = [latex]\frac {220 * 18} {72 * 5}[/latex] = 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

A. 20 B. 25 C. 30 D. 40

Answer: Option B
Explanation:
Speed = (72 * [latex]\frac {5} {18}[/latex]) m/s = 20 m/s