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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 303 · 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 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 105 km upstream and come back?
  2. 2.A boat goes 44 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  3. 3.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  4. 4.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  5. 5.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  6. 6.A boat goes 80 km downstream in 4 hours and 72 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  8. 8.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.Two trains, 110 m and 250 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?
  11. 11.Two trains, 230 m and 70 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?
  12. 12.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  13. 13.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  14. 14.A boat goes at 18 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 72 km upstream and come back?
  15. 15.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes at 20 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 72 km upstream and come back?
  18. 18.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  19. 19.A boat goes at 16 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 31 km upstream and come back?
  20. 20.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  21. 21.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.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 80 km upstream and come back?
  24. 24.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 108 km upstream and come back?
  25. 25.A boat goes at 11 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 114 km upstream and come back?
  26. 26.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?
  27. 27.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  28. 28.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  29. 29.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  30. 30.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  32. 32.Two trains, 170 m and 160 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 train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  34. 34.Two trains, 100 m and 380 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?
  35. 35.A boat goes 95 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  36. 36.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 84 km upstream and come back?
  39. 39.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  40. 40.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 72 km upstream and come back?

Answer key

  1. 50
  2. 2
  3. 26
  4. 42
  5. 25
  6. 19
  7. 22
  8. 16
  9. 7
  10. 9
  11. 10
  12. 90
  13. 165
  14. 9
  15. 14
  16. 19
  17. 20
  18. 27
  19. 32
  20. 200
  21. 23
  22. 7
  23. 18
  24. 120
  25. 44
  26. 20
  27. 27
  28. 34
  29. 210
  30. 5
  31. 13
  32. 11
  33. 260
  34. 12
  35. 1
  36. 21
  37. 15
  38. 40
  39. 22
  40. 15

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