Problems on Trains Questions

Multiple choice
  1. 21.6 கி.மீ /மணி / 21.6 km / hr

  2. 22.6 கி.மீ /மணி / 22.6 km / hr

  3. 23.6 கி.மீ /மணி / 23.6 km / hr

    1. 6 கி.மீ /மணி / 24. 6 km / hr
  4. இவற்றில் ஏதுமில்லை/None of these

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let L be train length, V be speed. L/V = 15. (L+90)/V = 30. L = 15V. 15V + 90 = 30V => 15V = 90 => V = 6 m/s. 6 m/s * 18/5 = 21.6 km/hr.

Multiple choice
  1. 70 மீ /70 m

  2. 80 மீ/ 80m

  3. 90 மீ/ 90m

  4. 100 மீ /100m

  5. இவற்றில் ஏதுமில்லை/None of these

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The relative speed of the train and the person moving in opposite directions is 84 + 6 = 90 km/h. Convert 90 km/h to m/s: 90 * (5/18) = 25 m/s. The length of the train is speed * time = 25 m/s * 4 s = 100 meters.

Multiple choice
  1. 80 கி.மீ/ மணி /80 km / h

  2. 81 கி.மீ/ மணி /81 km / h

  3. 82 கி.மீ/ மணி / 82 km / h

  4. 83 கி.மீ/ மணி / 83 km / h

  5. இவற்றில் ஏதுமில்லை/None of these

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total distance = 108 + 112 = 220 m. Time = 6 seconds. Relative speed = 220/6 m/s = 110/3 m/s. Converting to km/h: (110/3) * (18/5) = 132 km/h. Since they are in opposite directions, relative speed = speed1 + speed2. 132 = 50 + speed2, so speed2 = 82 km/h.

Multiple choice
  1. 48 நொடி/48sec

  2. 35 நொடி / 35 sec

  3. 30 நொடி/ 30 sec

  4. 36 நொடி/ 36 sec

  5. இவற்றில் ஏதுமில்லை/None of these

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Relative speed = 50 + 100 = 150 km/h = 150 * (5/18) m/s = 125/3 m/s. Total distance = 1.2 + 0.8 = 2.0 km = 2000 m. Time = Distance / Relative Speed = 2000 / (125/3) = 2000 * 3 / 125 = 16 * 3 = 48 seconds.

Multiple choice
  1. 100மீ/100m

  2. 80மீ/80m

  3. 50 மீ/50m

  4. 60 மீ/60m

  5. இவற்றில் ஏதுமில்லை/None of these

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Relative speed = 66 - 56 = 10 km/h = 10 * 5/18 m/s = 25/9 m/s. Distance = Speed * Time = (25/9) * 36 = 100m. Since two trains have equal length L, 2L = 100, L = 50m.

Multiple choice
  1. 120 கி.மீ/ மணி / 120 km / h

  2. 100 கி.மீ/ மணி /100km / h

  3. 125 கி.மீ/ மணி/ 125km / h

  4. 95 கி.மீ/ மணி 95 km / h

  5. இவற்றில் ஏதுமில்லை/None of these

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Relative speed = (200+200)m / 8s = 400/8 = 50 m/s. 50 m/s = 50 * 18/5 = 180 km/h. Let speeds be v and 2v. v + 2v = 180 => 3v = 180 => v = 60. Fast train = 2v = 120 km/h.

Multiple choice
  1. 55 மீ /55m

  2. 60 மீ /60m

  3. 65 மீ/ 65m

  4. 50 மீ /50m

  5. இவற்றில் ஏதுமில்லை/None of these

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let train length be L and speed be V (m/s). Person 1 speed = 2 km/h = 5/9 m/s. Person 2 speed = 4 km/h = 10/9 m/s. Relative speeds are (V - 5/9) and (V - 10/9). L = (V - 5/9)*9 and L = (V - 10/9)*10. 9V - 5 = 10V - 100/9. V = 100/9 - 5 = 55/9 m/s. L = (55/9 - 5/9)*9 = 50 meters.

Multiple choice
  1. 400 மீ/ 400 m

  2. 300 மீ/300 m

  3. 500 மீ/ 500m

  4. 450 மீ/450 m

  5. இவற்றில் ஏதுமில்லை/None of these

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Speed = 90 km/h = 90 * (5/18) m/s = 25 m/s. Length = Speed * Time = 25 * 12 = 300 meters.

Multiple choice
    1. 1 வினாடி /44 .1 Sec
  1. 44.2 வினாடி/44.2 Sec

  2. 44.3 வினாடி / 44.3 Sec

  3. 44.0 வினாடி /44.0 Sec

  4. இவற்றில் ஏதுமில்லை/None of these

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Total distance = 340 + 150 = 490 m. Speed = 40 km/h = 40 * (5/18) m/s = 200/18 = 100/9 m/s. Time = 490 / (100/9) = 490 * 9 / 100 = 44.1 seconds.

Multiple choice
  1. 90 கி.மீ /மணி / 90 Km / hr

  2. 80 கி.மீ /மணி /80Km / hr

  3. 95 கி.மீ /மணி / 95 Km / hr

  4. 100 கி.மீ /மணி / 100 Km / hr

  5. இவற்றில் ஏதுமில்லை/None of these

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let L be the length of the train and v be its speed. L = v * 8. L + 300 = v * 20. Substituting L, v*8 + 300 = v*20 => 12v = 300 => v = 25 m/s. Converting to km/hr: 25 * (18/5) = 90 km/hr.

Multiple choice
  1. 9 விநாடிகள்/ 9 sce

  2. 10 விநாடிகள் /10 sce

  3. 11 விநாடிகள் / 11 sce

  4. 12 விநாடிகள் / 12 sce

  5. இவற்றில் ஏதுமில்லை/None of these

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Relative speed = 40 + 32 = 72 km/h = 72 * (5/18) = 20 m/s. Total distance = 121 + 99 = 220 m. Time = Distance / Speed = 220 / 20 = 11 seconds.

Multiple choice
  1. 500 மீ /500m

  2. 400 மீ /400m

  3. 450 மீ /450m

  4. 550 மீ /550m

  5. இவற்றில் ஏதுமில்லை/None of these

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Speed = 30 m/s. Time = 30 s. Total distance = Speed * Time = 30 * 30 = 900 m. Total distance = Train length + Platform length. 900 = L + 500. L = 400 m.

Multiple choice
  1. 400 மீ /400 m

  2. 500 மீ 500 m

  3. 600 மீ /600 m

  4. 750 மீ /750 m

  5. இவற்றில் ஏதுமில்லை/None of these

Reveal answer Fill a bubble to check yourself
A Correct answer
Multiple choice
  1. 72 நொடிகள்/72seconds

  2. 132 நொடிகள்/132 seconds

  3. 192 நொடிகள் /192 seconds

  4. 252 நொடிகள்/252 seconds

  5. இவற்றில் ஏதுமில்லை/None of these

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Relative speed in the same direction is 45 - 40 = 5 kmph. Convert 5 kmph to m/s: 5 * (5/18) = 25/18 m/s. Total distance to cover is 200 + 150 = 350 m. Time = Distance / Speed = 350 / (25/18) = 350 * 18 / 25 = 14 * 18 = 252 seconds.

Multiple choice
  1. 9 நொடிகள் / 9seconds

  2. 9.6 நொடிகள் / 9.6 seconds

  3. 10 நொடிகள்/10 seconds

  4. 10.8 நொடிகள்/10.8 seconds

  5. இவற்றில் ஏதுமில்லை/None of these

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total distance = 140 + 160 = 300 m. Relative speed = 60 + 40 = 100 km/hr = 100 * (5/18) m/s = 500/18 m/s. Time = Distance / Speed = 300 / (500/18) = 300 * 18 / 500 = 3 * 18 / 5 = 54 / 5 = 10.8 seconds.