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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 358 · 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 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  2. 2.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  3. 3.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  4. 4.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  5. 5.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  6. 6.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  7. 7.A boat goes 51 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  8. 8.Two trains, 170 m and 80 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?
  9. 9.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  10. 10.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  11. 11.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes 48 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A boat goes 95 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  15. 15.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  16. 16.A boat goes 64 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  17. 17.A boat goes 42 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  18. 18.Two trains, 50 m and 370 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  19. 19.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  20. 20.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.Two trains, 120 m and 80 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?
  22. 22.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  23. 23.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  24. 24.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 36 km upstream and come back?
  26. 26.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  27. 27.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  28. 28.A boat goes 54 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  29. 29.Two trains, 170 m and 130 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  30. 30.A boat goes 20 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  31. 31.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  32. 32.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes 36 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  34. 34.Two trains, 230 m and 310 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  35. 35.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  36. 36.A train running at 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  37. 37.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  38. 38.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  39. 39.A boat goes at 14 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 78 km upstream and come back?
  40. 40.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 24
  2. 650
  3. 160
  4. 27
  5. 170
  6. 150
  7. 3
  8. 10
  9. 345
  10. 41
  11. 17
  12. 20
  13. 14
  14. 16
  15. 390
  16. 1
  17. 3
  18. 12
  19. 16
  20. 22
  21. 10
  22. 160
  23. 26
  24. 15
  25. 15
  26. 165
  27. 13
  28. 4
  29. 10
  30. 4
  31. 90
  32. 16
  33. 3
  34. 12
  35. 22
  36. 360
  37. 50
  38. 22
  39. 42
  40. 22

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