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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 759 · 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 20 km/h in still water. The river flows at 19 km/h. How many hours does the boat take to go 39 km upstream and come back?
  2. 2.Two trains, 190 m and 125 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  3. 3.A boat goes 45 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)?
  4. 4.A boat goes at 15 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 112 km upstream and come back?
  5. 5.A boat goes at 18 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 32 km upstream and come back?
  6. 6.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes 26 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)?
  8. 8.A boat goes 70 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  10. 10.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  11. 11.A boat goes at 11 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?
  12. 12.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?
  13. 13.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 33 km upstream and come back?
  14. 14.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  16. 16.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)?
  17. 17.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  18. 18.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  20. 20.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  21. 21.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 104 km upstream and come back?
  22. 22.Two trains, 50 m and 250 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?
  23. 23.Two trains, 190 m and 55 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?
  24. 24.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  25. 25.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  26. 26.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  28. 28.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  29. 29.A boat goes 20 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 90 km upstream and come back?
  31. 31.Two trains, 150 m and 150 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?
  32. 32.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  33. 33.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  34. 34.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  35. 35.A boat goes at 15 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 36 km upstream and come back?
  36. 36.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 63 km upstream and come back?
  37. 37.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  39. 39.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.A train running at 72 km/h passes a pole in 19 seconds. How long is the train (in metres)?

Answer key

  1. 40
  2. 9
  3. 11
  4. 15
  5. 9
  6. 12
  7. 11
  8. 12
  9. 34
  10. 330
  11. 22
  12. 34
  13. 14
  14. 14
  15. 26
  16. 3
  17. 320
  18. 28
  19. 13
  20. 13
  21. 112
  22. 10
  23. 7
  24. 210
  25. 25
  26. 23
  27. 36
  28. 37
  29. 6
  30. 28
  31. 10
  32. 160
  33. 260
  34. 24
  35. 5
  36. 30
  37. 16
  38. 20
  39. 19
  40. 380

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