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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 876 · 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 boat goes at 12 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 20 km upstream and come back?
  2. 2.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  4. 4.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes 51 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  7. 7.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  8. 8.A boat goes 33 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A boat goes at 17 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 99 km upstream and come back?
  10. 10.A boat goes at 12 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 88 km upstream and come back?
  11. 11.A train 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  13. 13.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  15. 15.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  17. 17.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  18. 18.Two trains, 100 m and 150 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  19. 19.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  20. 20.A boat goes 90 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A boat goes 55 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  22. 22.A boat goes 84 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  23. 23.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  24. 24.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  25. 25.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  27. 27.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  28. 28.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 12 km upstream and come back?
  29. 29.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  30. 30.Two trains, 100 m and 150 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?
  31. 31.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  32. 32.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  33. 33.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  34. 34.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  35. 35.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes 28 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  37. 37.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  38. 38.A boat goes at 10 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 91 km upstream and come back?
  39. 39.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  40. 40.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?

Answer key

  1. 6
  2. 24
  3. 33
  4. 15
  5. 12
  6. 100
  7. 120
  8. 7
  9. 102
  10. 48
  11. 18
  12. 12
  13. 20
  14. 290
  15. 7
  16. 390
  17. 160
  18. 5
  19. 18
  20. 16
  21. 1
  22. 4
  23. 16
  24. 750
  25. 23
  26. 100
  27. 27
  28. 4
  29. 26
  30. 10
  31. 285
  32. 165
  33. 37
  34. 37
  35. 19
  36. 5
  37. 30
  38. 20
  39. 170
  40. 50

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