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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 174 · 40 questions
TalentJR

The method (Length and relative speed): Change km/h to m/s (× 5/18) when lengths are in metres and time in seconds. Pole: time = train length ÷ speed. Platform: (train + platform) ÷ speed. Towards each other: add the speeds; same direction: take them away. Cover both lengths. Downstream = boat + stream; upstream = boat − stream. Boat = (down + up) ÷ 2; stream = (down − up) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  4. 4.Two trains, 80 m and 270 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  5. 5.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  7. 7.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  8. 8.Two trains, 60 m and 240 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  9. 9.A boat goes 18 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  10. 10.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  11. 11.Two trains, 80 m and 235 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  12. 12.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  13. 13.A boat goes 34 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.Two trains, 70 m and 50 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  15. 15.A boat goes 56 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  17. 17.Two trains, 50 m and 75 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  18. 18.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  19. 19.A boat goes 44 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  20. 20.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 45 km upstream and come back?
  21. 21.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  22. 22.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A boat goes at 17 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 84 km upstream and come back?
  24. 24.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  25. 25.A boat goes 95 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A boat goes 68 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  27. 27.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  28. 28.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  29. 29.A boat goes 72 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  31. 31.A boat goes at 16 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 120 km upstream and come back?
  32. 32.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  33. 33.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes 88 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A boat goes at 14 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 105 km upstream and come back?
  36. 36.Two trains, 190 m and 130 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  37. 37.A boat goes at 15 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 27 km upstream and come back?
  38. 38.A boat goes at 11 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 85 km upstream and come back?
  39. 39.A boat goes 75 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  40. 40.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?

Answer key

  1. 13
  2. 29
  3. 320
  4. 10
  5. 10
  6. 300
  7. 36
  8. 10
  9. 1
  10. 625
  11. 9
  12. 38
  13. 15
  14. 6
  15. 10
  16. 100
  17. 5
  18. 260
  19. 1
  20. 14
  21. 28
  22. 24
  23. 17
  24. 26
  25. 17
  26. 2
  27. 50
  28. 105
  29. 19
  30. 140
  31. 64
  32. 22
  33. 10
  34. 17
  35. 20
  36. 8
  37. 10
  38. 22
  39. 1
  40. 330

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