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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 571 · 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 13 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 100 km upstream and come back?
  2. 2.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  4. 4.A boat goes at 12 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 45 km upstream and come back?
  5. 5.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?
  6. 6.Two trains, 70 m and 90 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?
  7. 7.Two trains, 110 m and 90 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  8. 8.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.Two trains, 230 m and 220 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?
  10. 10.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  11. 11.A boat goes at 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 42 km upstream and come back?
  12. 12.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?
  13. 13.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  14. 14.Two trains, 130 m and 170 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?
  15. 15.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes at 10 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 48 km upstream and come back?
  17. 17.A boat goes 34 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  19. 19.Two trains, 60 m and 140 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  20. 20.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes at 19 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 105 km upstream and come back?
  22. 22.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  23. 23.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  24. 24.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  25. 25.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  26. 26.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 110 km upstream and come back?
  27. 27.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 60 km upstream and come back?
  28. 28.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  29. 29.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  30. 30.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  31. 31.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  32. 32.A train running at 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  33. 33.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  34. 34.Two trains, 120 m and 240 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  35. 35.A boat goes at 17 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 120 km upstream and come back?
  36. 36.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 35 km upstream and come back?
  37. 37.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  38. 38.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  40. 40.A boat goes 75 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 104
  2. 27
  3. 210
  4. 8
  5. 18
  6. 8
  7. 5
  8. 17
  9. 9
  10. 28
  11. 10
  12. 20
  13. 22
  14. 10
  15. 27
  16. 10
  17. 13
  18. 29
  19. 5
  20. 10
  21. 38
  22. 200
  23. 300
  24. 14
  25. 33
  26. 60
  27. 25
  28. 220
  29. 17
  30. 32
  31. 35
  32. 360
  33. 25
  34. 12
  35. 34
  36. 12
  37. 25
  38. 5
  39. 15
  40. 10

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