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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 155 · 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 running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  2. 2.A boat goes 22 km downstream in 2 hours and 2 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  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 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes at 19 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 37 km upstream and come back?
  9. 9.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?
  10. 10.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.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?
  12. 12.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  13. 13.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.Two trains, 100 m and 110 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?
  16. 16.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.Two trains, 100 m and 50 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?
  18. 18.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  19. 19.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 70 km upstream and come back?
  20. 20.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  21. 21.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  22. 22.Two trains, 190 m and 110 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?
  23. 23.A boat goes 34 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  25. 25.A boat goes 44 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  27. 27.Two trains, 60 m and 390 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?
  28. 28.A boat goes at 13 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 69 km upstream and come back?
  29. 29.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  30. 30.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.Two trains, 70 m and 315 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?
  32. 32.A boat goes at 10 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 15 km upstream and come back?
  33. 33.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes 50 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  36. 36.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  37. 37.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 57 km upstream and come back?
  38. 38.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 54 km upstream and come back?
  39. 39.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  40. 40.A boat goes 110 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 700
  2. 6
  3. 21
  4. 29
  5. 280
  6. 100
  7. 24
  8. 38
  9. 15
  10. 16
  11. 28
  12. 580
  13. 8
  14. 28
  15. 6
  16. 15
  17. 5
  18. 27
  19. 24
  20. 31
  21. 28
  22. 12
  23. 14
  24. 725
  25. 10
  26. 33
  27. 9
  28. 26
  29. 22
  30. 26
  31. 11
  32. 4
  33. 19
  34. 8
  35. 20
  36. 10
  37. 22
  38. 60
  39. 195
  40. 19

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