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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 379 · 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 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  2. 2.Two trains, 110 m and 140 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?
  3. 3.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  4. 4.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.Two trains, 190 m and 260 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  7. 7.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes 105 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  9. 9.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  12. 12.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  13. 13.A boat goes at 13 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 105 km upstream and come back?
  14. 14.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 60 km upstream and come back?
  15. 15.A boat goes at 16 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 78 km upstream and come back?
  16. 16.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  17. 17.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  18. 18.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 60 km upstream and come back?
  19. 19.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes at 16 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 30 km upstream and come back?
  21. 21.A boat goes 54 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  22. 22.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  23. 23.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 52 km upstream and come back?
  24. 24.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  25. 25.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  26. 26.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  29. 29.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 120 km upstream and come back?
  30. 30.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  31. 31.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 10 km upstream and come back?
  32. 32.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 70 km upstream and come back?
  34. 34.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  35. 35.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  36. 36.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  37. 37.A boat goes 20 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  38. 38.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  40. 40.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 25
  2. 10
  3. 125
  4. 12
  5. 7
  6. 10
  7. 14
  8. 3
  9. 19
  10. 17
  11. 29
  12. 29
  13. 26
  14. 11
  15. 16
  16. 16
  17. 175
  18. 16
  19. 17
  20. 16
  21. 1
  22. 27
  23. 56
  24. 29
  25. 160
  26. 8
  27. 5
  28. 10
  29. 36
  30. 42
  31. 6
  32. 19
  33. 42
  34. 550
  35. 220
  36. 24
  37. 3
  38. 25
  39. 210
  40. 21

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