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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 300 · 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 running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  2. 2.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  3. 3.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  4. 4.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  5. 5.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  6. 6.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 117 km upstream and come back?
  7. 7.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  8. 8.A boat goes at 11 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 60 km upstream and come back?
  9. 9.A boat goes 76 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  10. 10.Two trains, 70 m and 105 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  11. 11.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  12. 12.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  13. 13.A boat goes 50 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.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 21 km upstream and come back?
  15. 15.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  17. 17.A boat goes 48 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A train running at 72 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  19. 19.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  20. 20.A boat goes 42 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  22. 22.A boat goes 105 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)?
  23. 23.A train running at 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  24. 24.Two trains, 200 m and 80 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?
  25. 25.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  26. 26.Two trains, 100 m and 215 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?
  27. 27.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  28. 28.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  29. 29.A boat goes 32 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  31. 31.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  32. 32.Two trains, 110 m and 70 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?
  33. 33.A boat goes 16 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  34. 34.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  35. 35.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.Two trains, 90 m and 110 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?
  38. 38.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  39. 39.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 39 km upstream and come back?

Answer key

  1. 650
  2. 17
  3. 10
  4. 32
  5. 29
  6. 48
  7. 220
  8. 33
  9. 2
  10. 7
  11. 30
  12. 22
  13. 6
  14. 4
  15. 26
  16. 17
  17. 11
  18. 600
  19. 210
  20. 10
  21. 31
  22. 18
  23. 280
  24. 8
  25. 340
  26. 9
  27. 300
  28. 27
  29. 6
  30. 475
  31. 30
  32. 6
  33. 1
  34. 14
  35. 25
  36. 20
  37. 10
  38. 17
  39. 12
  40. 16

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